Question

Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?

Answer 1

Solution : 4 or more times

Explanation:

As the inequality is given to us, it makes this a bit simpler.

3t + 10 ≥ 22 ( Subtract 10 on either side )

3t ≥ 12 ( Divide 3 on either side )

t ≥ 12 / 3 ≥ 4

And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.