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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

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calculista calculista · Answer 1 · 2019-11-08T18:58:42+01:00

Answer:

Option D. 4 or more times

Step-by-step explanation:

we have

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

Solve for t

Subtract 10 both sides

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

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

Divide by 3 both sides

[tex]t\geq 4\ times[/tex]

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

therefore

4 or more times

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agaue agaue · Answer 2 · 2019-11-20T10:46:11+01:00

Answer:

Option D is the correct answer.

Step-by-step explanation:

The inequality is given by 3t + 10 ≥ 22, where t is the number of loops Elena rides in the park.

Solving we will get

3t + 10 ≥ 22

3t ≥ 22 - 10

3t ≥ 12

t ≥ 4

That is t is 4 or more times,

Number of times Elena need to ride around the loop is 4 or more times.

Option D is the correct answer.