Question

Chris's wage varies directly with the number of hours she works. Her wages for 20 hours are $150. Write the equation that can be used to find the Wage (w) for a given number of hours (h). (Find k and write an equation with w, h, and the value of k).

A) w = 7.5h
B) w = 150h
C) w = 20h
D) w = 10h

Answer 1

To find the equation for Chris's wage, we need to determine the constant of proportionality using the given information. The equation is w = 7.5h.

Step-by-step explanation:

To write the equation that can be used to find the wage (w) for a given number of hours (h), we need to find the value of the constant of proportionality (k).

Given that Chris's wage varies directly with the number of hours she works, we can use the formula:

w = kh

To find the value of k, we can use the given information that her wages for 20 hours are $150:

150 = k * 20

Dividing both sides of the equation by 20 gives us:

k = 150/20 = 7.5

Substituting the value of k into the equation gives us the final equation:

w = 7.5h