Question

Pleasssss answer me

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 t is the number of times Elena rides around the loop.

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

A. 5 or more times
B. At most 4 times
C. At most 5 times
D. 4 or more times

Answer 1

The answer is D because if you plug in 4 as t, 12+10 is greater than it equal to 22. But she can still go 5 times around and still be greater. The 10 is in the problem because it took 5 miles to get there and 5 miles to get back!

Answer 2

The correct option is D.

Explanation:

It is 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.

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

`3t+10\geq 22`

Subtract 10 from both the sides.

`3t\geq 22-10`

`3t\geq 12`

Divide both the sides by 3.

`\fraac{3t}{3}\geq (12)/(3)`

`t\geq 4`

The value of t is 4 or more than 4. It means Elena need to ride around the loop 4 or more times.

Therefore the correct option is D.