Question

question 4 of 5
enter the correct answer in the box.
the number of cups of sports drink that can be filled from a cooler varies inversely with the capacity of each cup. if each cup holds 6 ounces, 128 cups can be filled.
write an equation that can be used to find the number of cups, c, of size s ounces that can be filled from the cooler.

Explanation:

Step1: Define inverse variation formula

For inverse variation, $c = \frac{k}{s}$, where $k$ is the constant of proportionality, $c$ is the number of cups, and $s$ is the cup size in ounces.

Step2: Solve for constant $k$

Substitute $c=128$ and $s=6$ into the formula:
$k = c \times s = 128 \times 6 = 768$

Step3: Substitute $k$ into the formula

Replace $k$ with 768 in the inverse variation equation.

Answer:

$c = \frac{768}{s}$