Use the image to answer the question.

I'm sorry, but I can't see images. However, if you can describe the graph or provide the data points shown, I'd be happy to help you determine the number of calories in 1 ounce of soda based on that information!

Use the image to answer the question.

The earnings for Employee 1 and Employee 2 are displayed in the following graphs. Which employee earns more per hour?

(1 point)
Employee earns more per hour.
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I'm unable to view images or graphs. However, I can help you determine which employee earns more per hour if you provide the relevant details, such as the hourly rates or earnings displayed in the graphs for Employee 1 and Employee 2. Please share this information, and I'll assist you in analyzing it!

Use similar triangles to determine the slope of the line.

(1 point)
The slope is

To determine the slope of a line using similar triangles, you need to look at two points on the line, typically in the format (x1, y1) and (x2, y2). The slope (m) can be calculated using the formula:

\[
m = \frac{y2 - y1}{x2 - x1}
\]

Here are the steps you can follow:

1. Identify two points on the line: (x1, y1) and (x2, y2).
2. Substitute the coordinates into the slope formula.
3. Calculate the difference in the y-values (vertical change) and x-values (horizontal change).
4. Divide the vertical change by the horizontal change to find the slope.

If you provide specific points or values from the graph, I can help you calculate the slope!

How could you write the equation of a line that would be parallel to y=−3x−2

𝑦
=
−
3
𝑥
−
2
but not share any points?(1 point)
Responses

y=−3x+8
𝑦
=
−
3
𝑥
+
8
y equals negative 3 x plus 8

y=3x−2
𝑦
=
3
𝑥
−
2
y equals 3 x minus 2

y=3x+8
𝑦
=
3
𝑥
+
8
y equals 3 x plus 8

y=−3x−2
𝑦
=
−
3
𝑥
−
2

To write an equation of a line that is parallel to the line given by \( y = -3x - 2 \), the new line must have the same slope but a different y-intercept. The slope of the original line is \(-3\).

Thus, any parallel line will have the form:

\[
y = -3x + b
\]

where \( b \) is the y-intercept and can be any value that does not lead to sharing any points with the original line.

To ensure that the new line does not share any points with the original line, you can choose any \( b \) that is not equal to \(-2\) (the y-intercept of the original line). For example, if we choose \( b = 8\), the equation will be:

\[
y = -3x + 8
\]

So the correct response would be:

**y = -3x + 8**

This line is parallel to the original line but does not share any points with it.

Use the table to answer the question.

($) Cost of Candy Bar A
Quantity ($) Cost
1 1.25
2 2.50
3 3.75
4 5.00
5 6.25
The cost of Candy Bar A is displayed in the table. The proportional relationship between the cost and quantity for Candy Bar B is represented by the equation y=x
𝑦
=
𝑥
. Which candy bar is the cheapest cost per bar? Enter 1 for Candy Bar A. Enter 2 for Candy Bar B.

(1 point)

To determine which candy bar has the cheaper cost per bar, we need to calculate the cost per bar for both Candy Bar A and Candy Bar B.

**Candy Bar A:**
From the table, we see the costs for 1 to 5 candy bars:
- For 1 candy bar: $1.25
- For 2 candy bars: $2.50 \( \rightarrow \) cost per bar = \( \frac{2.50}{2} = 1.25 \)
- For 3 candy bars: $3.75 \( \rightarrow \) cost per bar = \( \frac{3.75}{3} = 1.25 \)
- For 4 candy bars: $5.00 \( \rightarrow \) cost per bar = \( \frac{5.00}{4} = 1.25 \)
- For 5 candy bars: $6.25 \( \rightarrow \) cost per bar = \( \frac{6.25}{5} = 1.25 \)

The cost per bar for Candy Bar A is consistently **$1.25**.

**Candy Bar B:**
The relationship for Candy Bar B is given by the equation \( y = x \), which means the cost for Candy Bar B is the same as the quantity:
- For 1 candy bar: $1.00
- For 2 candy bars: $2.00 \( \rightarrow \) cost per bar = \( \frac{2.00}{2} = 1.00 \)
- For 3 candy bars: $3.00 \( \rightarrow \) cost per bar = \( \frac{3.00}{3} = 1.00 \)
- For 4 candy bars: $4.00 \( \rightarrow \) cost per bar = \( \frac{4.00}{4} = 1.00 \)
- For 5 candy bars: $5.00 \( \rightarrow \) cost per bar = \( \frac{5.00}{5} = 1.00 \)

The cost per bar for Candy Bar B is consistently **$1.00**.

**Conclusion:**
Candy Bar B has a lower cost per bar at **$1.00** compared to Candy Bar A’s **$1.25**.

Thus, the answer is **2** for Candy Bar B.

Graph the linear equation y=2x−3

𝑦
=
2
𝑥
−
3
.(1 point)
Responses

To graph the linear equation \( y = 2x - 3 \), you can follow these steps:

1. **Identify the slope and y-intercept**:
- The equation is in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
- Here, the slope \( m = 2 \) and the y-intercept \( b = -3 \).

2. **Plot the y-intercept**:
- Start by plotting the y-intercept \( (0, -3) \) on the graph.

3. **Use the slope to plot another point**:
- The slope of \( 2 \) means that for every 1 unit you move to the right (positive direction on the x-axis), you move up 2 units (positive direction on the y-axis).
- From the point \( (0, -3) \), if you move to \( (1, -1) \) (right 1 unit and up 2 units), you can plot this new point.

4. **Plot the second point**:
- Plot the point \( (1, -1) \).

5. **Draw the line**:
- Draw a straight line through the points \( (0, -3) \) and \( (1, -1) \). Extend the line across the graph.

6. **Additional Points (optional)**:
- For better accuracy, you can find additional points by substituting values for \( x \):
- If \( x = 2 \): \( y = 2(2) - 3 = 1 \) \( \Rightarrow (2, 1) \)
- If \( x = -1 \): \( y = 2(-1) - 3 = -5 \) \( \Rightarrow (-1, -5) \)

Your graph will represent all the points that satisfy the equation \( y = 2x - 3 \).

If you're looking for a visual representation, you can graph it on paper or use graphing software to see the line visually.