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A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?A. 0.5< t < 0.75B. 1.75< t < 2.0C. 2.0 < t < 2.5D. 2.5 < t < 3.0E. 3 < t < 3.5

Respuesta :

Answer:

Option C is the answer.

Step-by-step explanation:

Given diameter is = 2 miles

So, radius will be = 1  mile

Let t represents the number of hours it took Johanna to walk completely around the lake.

Now, the circumference is given as: [tex]2\pi r[/tex]

So, circumference = [tex]2(3.14)(1)[/tex] = 6.28 miles

Johanna's speed = 3 miles/ hour

We know the formula [tex]Time=Distance / Speed[/tex]

t = [tex]6.28/3[/tex]

t = 2.09 hours

This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.

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