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

Answer:

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

Step-by-step 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,

$10.50x+11.90(0)= 178.50$

$x=\frac{178.50}{10.50}$

$x=17$

Point is (17,0).

For y-intercept put x=0,

$10.50(0)+11.90y= 178.50$

$y=\frac{178.50}{11.90}$

$y=15$

Point is (0,15).

Refer the graph attached below.