Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only ha

Question

Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

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Ngọc Khuê 3 years 2021-08-24T01:58:23+00:00 1 Answers 11 views 0

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  1. thugiang
    0
    2021-08-24T01:59:31+00:00
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    Answer: 213 2/3 miles

    Step-by-step explanation:

    first we need to set up an equation to solve

    let your equation be in y=mx+b form since we are using a rate

    Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation

    y = Budget

    m = rate

    x = how many miles she can go — the unknown variable

    b = the initial fee

    Your equation should be: 50 = 0.15x + 17.95

    We want to soIve for x now so first get rid of the coefficient not attached to it

    To do this, you do the inverse function of addition, which is subtraction

    Subtract 17.95 from both sides

    Your new equation will be: 32.05 = 0.15x

    0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division

    divide both sides by 0.15

    Your final answer: 213 2/3 miles

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