Question

A slope is shownUse the table and image to answer the question.

Employee 1
Earnings per Hour
Hours Earnings
1 10
2 20
3 30
A line graph is titled as Employee 2, Earnings per Hour. The x-axis is labeled Hours ranging from 0 to 6 in increments of 1. The y-axis is labeled Earnings in dollars, ranging from 0 to 80 in increments of 5. A solid line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis.

The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?

(1 point)
The equation for Employee 1 is
.
The equation for Employee 2 is
.

Answer 1

To find the equations that represent the proportional relationships for Employee 1 and Employee 2, we analyze the data provided.

**Employee 1:**

The earnings per hour for Employee 1 are given in the table. Based on the provided data:
- For 1 hour, earnings = 10 dollars
- For 2 hours, earnings = 20 dollars
- For 3 hours, earnings = 30 dollars

From this, we can see the relationship between hours (x) and earnings (y) follows:
- Earnings (y) = 10 * Hours (x)

Thus the equation for Employee 1 is:
**y = 10x**.

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**Employee 2:**

The plotted points for Employee 2 on the graph are:
- (0, 0)
- (1, 15)
- (3, 45)
- (5, 75)

From the points given, we can determine the rate at which Employee 2 earns. For example, from the point (1, 15):
- Earnings (y) = 15 * Hours (x)

Thus the equation for Employee 2 is:
**y = 15x**.

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In conclusion:
- The equation for Employee 1 is **y = 10x**.
- The equation for Employee 2 is **y = 15x**.