The amount of money that Sarah earns varies directly with the number of hours worked. If Sarah earns $320 for working 40 hours, determine the constant of proportionality.(1 point)

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To determine the constant of proportionality, we can set up a proportion:

$\frac{\text{Amount of money earned}}{\text{Number of hours worked}} = \text{Constant of proportionality}$

We are given that Sarah earns $320 for working 40 hours. Plugging these values into the proportion:

$\frac{320}{40} = \text{Constant of proportionality}$

Simplifying the fraction:

$8 = \text{Constant of proportionality}$

Thus, the constant of proportionality is $\boxed{8}$.