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

Respuesta :

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:

The correct option is D.

Step-by-step 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.

[tex]3t+10\geq 22[/tex]

Subtract 10 from both the sides.

[tex]3t\geq 22-10[/tex]

[tex]3t\geq 12[/tex]

Divide both the sides by 3.

[tex]\fraac{3t}{3}\geq \frac{12}{3}[/tex]

[tex]t\geq 4[/tex]

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.