Question

for her exercise today, jenny plans to both run and swim. let r be the number of laps she runs and let s be the number of laps she swims. each lap she runs takes her 4 minutes, and each lap she swims takes her 2 minutes. she wants to exercise for at least 40 minutes today. using the values and variables given, write an inequality describing this.

Explanation:

Step1: Calculate time for running

Each run lap takes 4 minutes, and she runs \( r \) laps. So the time for running is \( 4r \) minutes.

Step2: Calculate time for swimming

Each swim lap takes 2 minutes, and she swims \( s \) laps. So the time for swimming is \( 2s \) minutes.

Step3: Total exercise time and inequality

The total exercise time is the sum of running time and swimming time, which is \( 4r + 2s \) minutes. She wants to exercise for at least 40 minutes, so the inequality is \( 4r + 2s \geq 40 \).

Answer:

\( 4r + 2s \geq 40 \)