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31 August, 10:20

A family goes on a long car trip. The number of miles, y, they have left to drive is given by the equation y=510-60x, where x represents the time in hours. Which of the following values could be in the domain in this problem? Check all that apply.

1.5

10

0

60

-3

+3
Answers (1)
  1. 31 August, 13:33
    0
    0,1.5

    Step-by-step explanation:

    y = 510 - 60x

    We want to find the domain or the x values where x represents the time

    We need to determine the possible values for x

    Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived

    510 = 510 - 60x

    Subtract 510 from each side

    510-510 = 60x

    0 = 60x

    The smallest value of x can be 0

    0 = 510 - 60x

    Subtract 510 from each side

    -510 = 510-510-60x

    -510=-60x

    Divide by - 60

    -510/-60 = - 60x/-60

    8.5 = x

    The maximum value of x is 8.5 hours

    So x must be between 0 and 8.5 inclusive.
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