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A student on the track team runs 45 minutes each day as a part of her training. She begins her workout by run
constant rate of 8 miles per hour for a minutes, then slows to a constant rate of 7.5 miles per hour for b minute

Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?

A student on the track team runs 45 minutes each day as a part of her training She begins her workout by run constant rate of 8 miles per hour for a minutes the class=


Answer :

facundo3141592

The equation for the distance is:

(a/60)*8 mi/min + (b/60)*7.5 mi/min = D

So the correct option is the third one, counting from the top.

Which equation describes the relationship between the distance she runs in miles, D, and her running speed, in miles per hour?

We know that she runs 45 minutes each day, such that she runs at a rate of 8 miles per hour for a minutes, and then runs at 7.5 miles per hour for b minutes.

Now, remember the relation:

speed*time = distance.

Because a and b are in minutes, we need to rewrite the speeds in minutes, remember that there are 60 minutes in one hour, then:

8 mi/h = (1/60) 8mi/min

7.5 mi/h = (1/60)*7.5 mi/min

Then the equation for the distance is:

a*(1/60)* 8 mi/min + b*(1/60)*7.5 mi/min = D

(a/60)*8 mi/min + (b/60)*7.5 mi/min = D

So the correct option is the third one.

If you want to learn more about speed:

https://brainly.com/question/4931057

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