Question

alonzo will run at most 34 miles this week. so far, he has run 20 miles. what are the possible numbers of additional miles he will run? use t for the number of additional miles he will run. write your answer as an inequality solved for t.

Explanation:

Step1: Define the variable

Let \( t \) be the number of additional miles Alonzo will run. The total miles he runs this week is the sum of the miles he has already run (20 miles) and the additional miles \( t \).

Step2: Set up the inequality

Since he will run at most 34 miles, the total miles (20 + \( t \)) must be less than or equal to 34. So the inequality is \( 20 + t \leq 34 \).

Step3: Solve for \( t \)

Subtract 20 from both sides of the inequality: \( t \leq 34 - 20 \), which simplifies to \( t \leq 14 \).

Answer:

\( t \leq 14 \)