Elena plans to ride her bicycle 5 miles to a park and then ride several times

around a loop in the park that is 3 miles long. Then she'll ride the same way

home. She wants to ride a total of at least 22 miles. The inequality

3t+10 > 22 models this situation, where tis the number of times Elena rides

around the loop.

Solve the inequality. How many times does Elena need to ride around the

loop?

O

A. 4 or more times

O

B. 5 or more times

O C. At most 5 times

O D. At most 4 times

Option A

Elena need to ride around the loop four or more times

Solution:

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long

Then she will ride the same way home

She wants to ride a total of at least 22 miles

Given inequality is:

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

Solve fot "t" in given inequality

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.