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17 May, 17:31

The function d (x) = 1375 - 110x represents the distance (in miles) a high-speed

train is from its destination after x hours. (Section 3.3)

a. How far is the train from its destination after 8 hours?

b. How long does the train travel before reaching its destination?

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  1. 17 May, 17:37
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    We are given the function:

    d (x) = 1375 - 110 x

    A. To solve for the distance between the train and its destination after 8 hours, we simply have to plug in, x = 8 into the equation. That is:

    d (x) = 1375 - 110 * 8

    d (x) = 495 miles

    Therefore the train is now only 495 miles away from the destination.

    B. To solve for the total time needed to reach its destination, we must set d = 0 and find for the value of x:

    0 = 1375 - 110 x

    110 x = 1375

    x = 12.5 hours

    Therefore it takes 12.5 hours for the train to reach its destination.
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