Question

You work two jobs. You earn $9.80 per hour as a salesperson and $7.84 per hour stocking shelves. Your combined earnings this month are $156.80. 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

The equation representing the situation can be given as:

`7.84x+9.80y=156.80`

Explanation:

Given:

Earnings as a sales person = $9.80 per hour

Earnings from stocking shelves = $7.84

Total earning for the month = $ 156.80

To graph the equation that models this situation.

Solution:

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

Total earnings from stocking shelves in dollars will be given as:

`7.84x`

Let
`y`represent the number of hours worked as a sales person.

Total earnings as a sales person in dollars will be given as:

`9.80y`

Total earnings for the month can be given as:

`7.84x+9.80y`

Total earning for the month = $ 156.80

Thus, the equation representing the situation can be given as:

`7.84x+9.80y=156.80`

The above equation can be graphed with x-axis representing the number of hours worked stocking shelves and y-axis representing the number of hours worked as a sales person.