Question

mary beth can do 80 sit ups in 2 minutes at a steady rate. let s be the sit ups mary beth can do after t minutes. look at both equations. what do 40 and \\(\frac{1}{40}\\) tell you about this situation? \\(s = 40t\\) \\(t = \frac{1}{40}s\\) mary beth can do \\(\square\\) sit ups per minute. it takes \\(\square\\) minute for mary beth to do 1 sit up. 40 \\(\frac{1}{40}\\)

Explanation:

Step1: Find sit ups per minute

Calculate rate: $\frac{80}{2}=40$

Step2: Find time per sit up

Calculate inverse rate: $\frac{2}{80}=\frac{1}{40}$

Answer:

Mary Beth can do $\boldsymbol{40}$ sit ups per minute.
It takes $\boldsymbol{\frac{1}{40}}$ minute for Mary Beth to do 1 sit up.