Slope as Unit Rate Quick Check

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

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 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.

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 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.

Slope as Unit Rate Quick Check

5 of 55 of 5 Items

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

2
2

−1
negative 1

1
1

−2

1

To determine which player averaged more points per game, we need to calculate the slope of the line representing the data points on both graphs.

For Player A:
We have three data points: (0,0), (2,40), and (4,80).
The change in points is 80 - 0 = 80, and the change in games is 4 - 0 = 4.
Therefore, the slope for Player A is 80/4 = 20.

For Player B:
We have three data points: (0,0), (3,45), and (5,75).
The change in points is 75 - 0 = 75, and the change in games is 5 - 0 = 5.
Therefore, the slope for Player B is 75/5 = 15.

Since Player A has a higher slope (20), it means that Player A averaged more points per game compared to Player B. However, we cannot determine the exact average points per game without additional information or calculations. Thus, the correct answer is:

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

To determine which player averaged more points per game, we can look at the slope of the lines connecting the data points on each graph. The slope represents the rate of change of points per game.

For Player A, the data points are (0, 0), (2, 40), and (4, 80). We can calculate the slope using the formula:

slope = (change in y)/(change in x)

So, for Player A:
slope = (80 - 0)/(4 - 0) = 80/4 = 20

This means that Player A averages 20 points per game.

For Player B, the data points are (0, 0), (3, 45), and (5, 75). We can calculate the slope using the same formula:

slope = (75 - 0)/(5 - 0) = 75/5 = 15

This means that Player B averages 15 points per game.

Since 20 is greater than 15, Player A averaged more points per game than Player B. So the correct response is:

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