Question

Shen runs each lap in 4 minutes. He will run at least 48 minutes today. What are the possible numbers of laps he will run today?Use n for the number of laps he will run today.Write your answer as an inequality solved for n.

Answer 1

Step-by-step explanation

From the statement, we know that:

0. Shen runs each lap in 4 minutes,

,

1. he will run ,at least, 48 minutes today ⇒ t ≥ 48 min.

(1) From point 1, we know that Shen's speed is:

`s=\frac{1\text{ lap}}{4\text{ min}}=(1)/(4)\cdot\frac{\text{lap}}{\text{min}}.`

(2) The speed (s) times the time (t), we get the # of laps (n):

`n=s\cdot t\ge(1)/(4)\cdot\frac{\text{laps}}{\text{min}}\cdot48\text{ min}=(48)/(4)\text{ laps}=12\text{ laps}\Rightarrow n\ge12\text{ laps.}`Answer

n ≥ 12