Question

students are collecting canned goods for a local food pantry. last year, 12 students were able to distribute 1000 flyers in nine hours. this year there are 15 students handing out the same number of flyers. if the time it takes to distribute the flyers varies inversely with the number of students, how long should it take them? ? hours

Explanation:

Step1: Set up inverse - variation formula

Let $t$ be the time and $n$ be the number of students. The inverse - variation formula is $t_1n_1=t_2n_2$.

Step2: Identify values

Last year, $n_1 = 12$, $t_1=9$ hours. This year, $n_2 = 15$, and we need to find $t_2$.

Step3: Substitute values into formula

$12\times9 = 15\times t_2$.

Step4: Solve for $t_2$

$t_2=\frac{12\times9}{15}=\frac{108}{15}=7.2$.

Answer:

$7.2$