Which weather events are likely to happen due to a low-pressure system?(1 point)

Question

Responses

blizzard, rain, snow
blizzard, rain, snow

dry weather, blizzard, sunny day
dry weather, blizzard, sunny day

hurricane, snow, sunny day
hurricane, snow, sunny day

rain, clear skies, clouds
rain, clear skies, clouds

Which correctly describes the movement of air in a high-pressure system?(1 point)
Responses

Surface air moves toward the center of the system.
Surface air moves toward the center of the system.

Surface air moves up and down in the center of the system.
Surface air moves up and down in the center of the system.

Surface air moves away from the center of the system.
Surface air moves away from the center of the system.

Surface air circles around the center of the system.

Question
Use the scenario to answer the question.

A weather forecast predicts that a sunny week will be followed by a rainy weekend.

Which pressure systems are likely to occur?

(1 point)
Responses

first a high-pressure system, and then another high-pressure system
first a high-pressure system, and then another high-pressure system

first a low-pressure system, and then a high-pressure system
first a low-pressure system, and then a high-pressure system

first a high-pressure system, and then a low-pressure system
first a high-pressure system, and then a low-pressure system

first a low-pressure system, and then another low-pressure system
first a low-pressure system, and then another low-pressure system

Which forecast would be most accurate for a week that starts with low-pressure systems and ends with high-pressure systems?(1 point)
Responses

dense clouds followed by light wind and light rain
dense clouds followed by light wind and light rain

sunny days and light rain followed by dense clouds
sunny days and light rain followed by dense clouds

dense clouds followed by light wind and clear skies
dense clouds followed by light wind and clear skies

sunny days and clear skies followed by dense clouds

Answer 1

Here are the answers to your questions based on the provided options:

1. Which weather events are likely to happen due to a low-pressure system?
   The correct response is: blizzard, rain, snow

2. Which correctly describes the movement of air in a high-pressure system?
   The correct response is: Surface air moves away from the center of the system.

3. A weather forecast predicts that a sunny week will be followed by a rainy weekend. Which pressure systems are likely to occur?
   The correct response is: first a high-pressure system, and then a low-pressure system

4. Which forecast would be most accurate for a week that starts with low-pressure systems and ends with high-pressure systems?
   The correct response is: dense clouds followed by light wind and clear skies

If you have any further questions or need additional clarification, feel free to ask!

Answer 2

Use the image to answer the question.

An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through five plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 4 comma 2 right parenthesis, left parenthesis 6 comma 3 right parenthesis, and left parenthesis 8 comma 4 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 0 right parenthesis, and left parenthesis 4 comma 2 right parenthesis. The base is labeled as 4, and the perpendicular height on the right is labeled as 2. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 4 comma 2 right parenthesis, left parenthesis 8 comma 2 right parenthesis, and left parenthesis 8 comma 4 right parenthesis. The base is labeled as 4, and the perpendicular height on the right is labeled as 2.

what is the slope?

Answer 3

To find the slope of a line, you can use the formula:

\[ \text{slope} (m) = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1} \]

From the points given, let's choose two points on the line to calculate the slope. The points mentioned are (0, 0) and (2, 1).

Using these points:

• \( (x_1, y_1) = (0, 0) \)
• \( (x_2, y_2) = (2, 1) \)

Now we apply the formula:

\[ m = \frac{1 - 0}{2 - 0} = \frac{1}{2} \]

So, the slope of the line is \( \frac{1}{2} \).

You can also verify this slope with any other two points on the line, such as (4, 2) and (6, 3):

\[ m = \frac{3 - 2}{6 - 4} = \frac{1}{2} \]

This confirms that the slope is indeed \( \frac{1}{2} \).

Answer 4

An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Ounces and ranges from 0 to 40 in 5 unit increments. The y-axis is labeled Cost in dollars and ranges from from 0.00 to 4.00 in increments of 0.50. The graph is titled Cost per Ounce. A line connects four points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 8 comma 0.80 right parenthesis, left parenthesis 15 comma 1.50 right parenthesis, and left parenthesis 30 comma 3.00 right parenthesis.
The graph displays the cost per ounce of canned peas. Use the graph to determine the unit rate of the proportional relationship.

(1 point)
Responses

Canned peas cost $30 per ounce.
Canned peas cost $30 per ounce.

Canned peas cost $3.00 per ounce.
Canned peas cost $3.00 per ounce.

Canned peas cost $10 per ounce.
Canned peas cost $10 per ounce.

Canned peas cost $0.10 per ounce.
Canned peas cost $0.10 per ounce.

Question
Use the image to answer the question.

An illustration shows two graphs depicting cost of gasoline per gallon in dollars in store A and B. The first graph shows cost of gasoline per gallon in dollars in store A. The horizontal axis shows gallons ranging from 0 to 20 in increments of 5. The vertical axis shows the cost in dollars ranging from 0 to 70 in increments of 10. Four data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 5 comma 20 right parenthesis, left parenthesis 10 comma 40 right parenthesis, and left parenthesis 15 comma 60 right parenthesis. A line connects all the data points. The second graph shows cost of gasoline per gallon in dollars in store B. The horizontal axis shows gallons ranging from 0 to 10 in increments of 2. The vertical axis shows the cost in dollars ranging from 0 to 30 in increments of 2. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 4 comma 14 right parenthesis, and left parenthesis 8 comma 28 right parenthesis. A line connects all the data points.

The proportional relationship between the cost of gasoline and the number of gallons of gasoline from Store A and Store B are displayed in the graphs. Use the graphs to interpret the store that has the cheaper cost of gasoline per gallon.

(1 point)
Responses

Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.
Store A has the cheaper gasoline. The cost of gasoline is $0.25 per gallon.

Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $5 per gallon.

Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.
Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon.

Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
Store B has the cheaper gasoline. The cost of gasoline at Store A is $100 per gallon.
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Question
Use the image to answer the question.

An illustration shows two graphs depicting points per game for players A and B. The first graph shows points per game for player A. The horizontal axis shows games ranging from 0 to 5 in increments of 1. The vertical axis shows points ranging from 0 to 85 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 40 right parenthesis, and left parenthesis 4 comma 80 right parenthesis. A line connects all the data points. The second graph shows points per game for player B. The horizontal axis shows games ranging from 0 to 6 in increments of 1. The vertical axis shows points ranging from 0 to 80 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.

The average points scored playing basketball for Player A and Player B are graphed in the graphs. Determine which player averaged more points per game.

(1 point)
Responses

Player B averaged more points than Player A. Player B averaged 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 points per game.

Player A averaged more points than Player B. Player A averaged 80 points per game.
Player A averaged more points than Player B. Player A averaged 80 points per game.

Player B averaged more points than Player A. Player B averaged 75 points per game.
Player B averaged more points than Player A. Player B averaged 75 points per game.

Player A averaged more points than Player B. Player A averaged 20 points per game.
Player A averaged more points than Player B. Player A averaged 20 points per game.

Question
Use the image to answer the question.

An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through two plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis and left parenthesis 6 comma 6 right parenthesis.

Explain why the slope is positive or negative.

(1 point)
Responses

The slope is negative because the line increases as you move from left to right on the graph.
The slope is negative because the line increases as you move from left to right on the graph.

The slope is positive because the line decreases as you move from left to right on the graph.
The slope is positive because the line decreases as you move from left to right on the graph.

The slope is negative because the line decreases as you move from left to right on the graph.
The slope is negative because the line decreases as you move from left to right on the graph.

The slope is positive because the line increases as you move from left to right on the graph.
The slope is positive because the line increases as you move from left to right on the graph.

Question
Use the image to answer the question.

An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through four plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma negative 2 right parenthesis, left parenthesis 4 comma negative 4 right parenthesis, and left parenthesis 6 comma negative 6 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma negative 2 right parenthesis. The base is labeled as 2, and the perpendicular height on the left is labeled as 2. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 2 comma negative 2 right parenthesis, left parenthesis 2 comma negative 6 right parenthesis, and left parenthesis 6 comma negative 6 right parenthesis. The base is labeled as 4, and the perpendicular height on the left is labeled as 4.

What is the slope of the line?

(1 point)
Responses

−1
negative 1

2
2

1
1

−2
negative 2

Answer 5

Here are the answers to your questions based on the provided information:

1. Use the graph for canned peas to determine the unit rate of the proportional relationship.
   The correct response is: Canned peas cost $3.00 per ounce.

2. Use the graphs for gasoline in Store A and Store B to interpret which store has the cheaper cost of gasoline per gallon.
   The correct response is: Store B has the cheaper gasoline. The cost of gasoline is $3.50 per gallon. (Note: The response regarding Store A costing $5 per gallon seems inaccurate based on the context provided. Without specific calculations from the graphs provided, this is an assumption based on the options.)

3. Determine which player averaged more points per game based on the graphs for players A and B.
   The correct response is: Player A averaged more points than Player B. Player A averaged 80 points per game.

4. Explain why the slope is positive or negative for the line passing through points (0,0) and (6,6).
   The correct response is: The slope is positive because the line increases as you move from left to right on the graph.

5. What is the slope of the line passing through points (0,0), (2,-2), (4,-4), and (6,-6)?
   To calculate the slope using two of the points, let's consider (0,0) and (2,-2): \[ m = \frac{-2 - 0}{2 - 0} = \frac{-2}{2} = -1 \] The correct response is: −1 (negative 1).

If you have any further questions or need more assistance, feel free to ask!