Question

5. How long will it take Greg to earn $500.00? Round to the nearest hour​

Answer 1

61 hours

Explanation:

See the attached figure to better understand the problem

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`

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

Kevin's wage

Take any point from the table

I take the point (2,16.50)

`k=(16.50)/(2)=\$8.25\ per\ hour`

The equation of the proportional relationship is equal to

`y=kx`

substitute the value of k

`y=8.25x`

For y=$500.00

substitute the value of y in the equation and solve for x

`500=8.25x`

Divide by 8.25 both sides

`x=(500)/(8.25)=61\ h`