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. write two equations that represent the relationship between the number of sit ups done, s, and the total time in minutes, t. s =... · t t =... · s

Explanation:

Step1: Find sit-up rate

$\text{Rate} = \frac{80}{2} = 40$ sit-ups per minute

Step2: Write s in terms of t

Since $s = \text{Rate} \times t$, substitute rate:
$s = 40 \cdot t$

Step3: Rearrange for t in terms of s

Solve $s = 40t$ for $t$:
$t = \frac{1}{40} \cdot s$

Answer:

$s = 40 \cdot t$
$t = \frac{1}{40} \cdot s$