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

Accepted Solution

Answer:61  hoursStep-by-step explanation:See the attached figure to better understand the problemwe know thatA relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)Kevin's wageTake any point from the tableI take the point (2,16.50)[tex]k=\frac{16.50}{2}=\$8.25\ per\ hour[/tex]The equation of the proportional relationship is equal to[tex]y=kx[/tex]substitute the value of k[tex]y=8.25x[/tex]For y=$500.00substitute the value of y in the equation and solve for x[tex]500=8.25x[/tex]Divide by 8.25 both sides[tex]x=\frac{500}{8.25}=61\ h[/tex]