Question

linear inequalities
solving a word problem using a one-step linear inequality
deon runs each lap in 8 minutes. he will run at least 10 laps today. what are the possible numbers of minutes he will run today?
use t for the number of minutes he will run today.
write your answer as an inequality solved for t.

Explanation:

Step1: Determine total minutes per lap

Each lap takes 8 minutes, and he runs at least 10 laps. So total minutes \( t \) is related to laps: \( t = 8 \times \text{number of laps} \).

Step2: Formulate the inequality

Since he runs at least 10 laps, number of laps \( \geq 10 \). Substituting, \( \frac{t}{8} \geq 10 \) (because \( t = 8 \times \text{laps} \), so laps \( = \frac{t}{8} \)). Multiply both sides by 8: \( t \geq 8 \times 10 \).

Step3: Calculate the product

\( 8 \times 10 = 80 \), so \( t \geq 80 \).

Answer:

\( t \geq 80 \)