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

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 Link

pinquancaro pinquancaro · Answer 2 · 2019-12-03T06:07:35+01:00

Answer:

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

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. [tex]10.50x+11.90y= 178.50[/tex]

The required equation model the situation is [tex]10.50x+11.90y= 178.50[/tex]

To plot the graph we find x and y intercept,

For x-intercept put y=0,

[tex]10.50x+11.90(0)= 178.50[/tex]

[tex]x=\frac{178.50}{10.50}[/tex]

[tex]x=17[/tex]

Point is (17,0).

For y-intercept put x=0,

[tex]10.50(0)+11.90y= 178.50[/tex]

[tex]y=\frac{178.50}{11.90}[/tex]

[tex]y=15[/tex]

Point is (0,15).

Refer the graph attached below.