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16 August, 10:32

The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles

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  1. 16 August, 11:31
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    Given that the function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles, and that you have enough money to travel at most 20 miles.

    The domain of a function is the set of possible values of x, given that the maximum number of miles you can travel is 20 miles, the domain of the function is from 0 to 20.

    Domain = {x: 0 ≤ x ≤ 20}

    The range of a function is the set of the possible values of the function.

    For x = 0, y = 3.5 (0) + 2.8 = 2.8

    For x = 20, y = 3.5 (20) + 2.8 = 72.8

    Therefore, the range of the function is from $2.8 when no mile was covered and $72.8 when 20 miles was covered.

    Therefore, range = {y: 2.8 ≤ y ≤ 72.8}
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