select the correct answer.\n\nthe time it takes to clean up after an anniversary party varies inversely as…
select the correct answer.\n\nthe time it takes to clean up after an anniversary party varies inversely as the number of people cleaning. if 3 people work together to clean, it will take them 90 minutes. how long will it take if the number of people cleaning is increased to 5?\n\na. 54 minutes\nb. 72 minutes\nc. 150 minutes\nd. 162 minutes
Answer
Explanation:
Step1: Define inverse variation formula
Let $t$ = time, $n$ = number of people. Inverse variation: $t = \frac{k}{n}$, where $k$ is constant.
Step2: Solve for constant $k$
Substitute $t=90$, $n=3$: $90 = \frac{k}{3}$ $k = 90 \times 3 = 270$
Step3: Calculate time for 5 people
Substitute $k=270$, $n=5$: $t = \frac{270}{5} = 54$
Answer:
A. 54 minutes