Question

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

Answer 1

Answer:

61  hours

Step-by-step 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)

$k=\frac{16.50}{2}=\ 8.25\ per\ hour$

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

$x=\frac{500}{8.25}=61\ h$