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) Responses

Answer 1

To determine the constant of proportionality, we can use the formula for variation:

Direct Variation: y = kx

where:
y is the amount of money earned
x is the number of hours worked
k is the constant of proportionality

We have the values:
y = $320
x = 40

Plugging these values into the direct variation formula, we get:
$320 = k * 40

To find k, we can divide both sides of the equation by 40:
k = $320 / 40

Simplifying the expression gives us:
k = $8

Therefore, the constant of proportionality for Sarah's earnings is $8.