Question

How long will it take Greg to earn $500.00 round to the nearest hour

Answer 1

56 hours

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

Let

x -----> the number of hours

y ----> the amount earned in dollars

This problem represent a proportional relationship between the variable x and the variable y

Find the value of the constant of proportionality k

`k=y/x`

For (3,27) ---->
`k=27/3=9\ \$/h`

For (9,81) ---->
`k=81/9=9\ \$/h`

For (21,189) ---->
`k=189/21=9\ \$/h`

The constant of proportionality k is 9

The linear equation is

`y=9x`

For y=$500

substitute in the equation and solve for x

`500=9x`

Divide by 9 both sides

`x=56\ hours`