Question

The proportional relationship for the earnings and hours worked for employee one is $10 an hour. The proportional relationship between the earnings and hours worked for employee to is $15 an hour. What is the equation that represents the proportional relationship between the earnings and hours worked for employee one and employee two? Use a graphing linear equation

Answer 1

To find the equation that represents the proportional relationship between earnings and hours worked for employee one and employee two, we need to create a system of equations.

Let's use the equation y = mx for both employees, where y represents earnings and x represents hours worked.

For employee one:
y = 10x

For employee two:
y = 15x

Now we can graph these two equations to visually represent the proportional relationship between earnings and hours worked for both employees.

Here is the graph:

```plaintext
^
$40|- Employee 2 (y = 15x)
|
$30|-
|
$20|---------
|
$10|----------
|
$0 ----------------------
0 5 10 15
Hours Worked (x)
Employee 1 (y = 10x)
```

The equation representing the proportional relationship between the earnings and hours worked for employee one and employee two is:

y1 = 10x
y2 = 15x