Question

Latoya runs each lap in 6 minutes. She will run less than 12 laps today. What are the possible numbers of minutes she will run today?
Use t for the number of minutes she will run today.
Write your answer as an inequality solved for t.

Answer 1

Latoya runs each lap in 6 minutes, and she is going to run less than 12 laps.

First, we can determine the total time she would run for a given number of laps \( l \) using the relationship:

\[
\text{Time} = \text{Number of laps} \times \text{Time per lap} = l \times 6 \text{ minutes}
\]

Given that she runs less than 12 laps, we can express this as:

\[
l < 12
\]

Substituting this inequality into the time equation, we get:

\[
t = l \times 6 < 12 \times 6
\]

Calculating \( 12 \times 6 \):

\[
12 \times 6 = 72
\]

Thus, we can conclude:

\[
t < 72
\]

Since she can run any whole number of laps from 0 to 11 (which corresponds to running less than 12 laps), there is also a lower limit on \( t \):

\[
t \geq 0
\]

Putting it all together, the inequality that represents the possible numbers of minutes she will run today is:

\[
0 \leq t < 72
\]