Question

You work two jobs. You earn $11.90 per hour as a salesperson and $10.50 per hour stocking shelves. Your combined earnings this month are $178.50. Let x represent the number of hours worked stocking shelves and let y represent the number of hours worked in sales. Graph the equation that models this situation

Answer 1

First we define the variables as they are written in the problem statement.
x = represent the number of hours worked stocking shelves
y = represent the number of hours worked in sales
We write the equation:
11.90y + 10.50x = 178.50
Observe that the equation represents a line of negative slope.
Answer:
See graphic in attached image.

Answer 2

The required equation model the situation is
`10.50x+11.90y= 178.50`

Explanation:

Let 'x' represent the number of hours worked stocking shelves

Let 'y' represent the number of hours worked in sales.

You earn $11.90 per hour as a salesperson i.e. 11.90y.

You earn $10.50 per hour stocking shelves i.e. 10.50x.

Your combined earnings this month are $178.50.

i.e.
`10.50x+11.90y= 178.50`

The required equation model the situation is
`10.50x+11.90y= 178.50`

To plot the graph we find x and y intercept,

For x-intercept put y=0,

`10.50x+11.90(0)= 178.50`

`x=(178.50)/(10.50)`

`x=17`

Point is (17,0).

For y-intercept put x=0,

`10.50(0)+11.90y= 178.50`

`y=(178.50)/(11.90)`

`y=15`

Point is (0,15).

Refer the graph attached below.