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29 December, 16:57

2. A student on the track team runs 45 minutes each day as a part of her training. She

begins her workout by running at a constant rate of 8 miles per hour for a minutes,

then slows to a constant rate of 7.5 miles per hour for b minutes.

Which equation describes the relationship between the distance she runs in miles, D,

and her running speed, in miles per hour?

A, a + b = 45

B. 8a + 7.5b = D

C. 0.865) + 7.506) = D

D. 8 (45 - b) + 7.5b = D

Algebra 1

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Answers (1)
  1. 29 December, 17:03
    0
    D

    Step-by-step explanation:

    The basic equation to solve this would be D = RT, which is

    D is Distance

    R is Rate (speed)

    T is time

    To find total distance D, we can find individual distances for two legs of the whole.

    First Leg:

    R = 8

    T = a

    D = 8a

    Second Leg:

    R = 7.5

    T = b

    D = 7.5b

    Total distance D is:

    D = 8a + 7.5b

    Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:

    D = 8a + 7.5b

    D = 8 (45 - b) + 7.5b

    Answer choice D is right.
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