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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 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

Respuesta :

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.

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