Question

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

Answer 1

Answer:

56 hours

Step-by-step 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

$x=56\ hours$