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15 May, 05:28

Your parents have decided to buy a new Toyota 4Runner for 25,635. According to the dealer, the car will depreciate in value approximately $3,000 per year. Write and solve a linear equation to find how many years it will be until the car is worth $3,135

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  1. 15 May, 05:37
    0
    Let the value of the car be represented by V and the amount of years by y.

    This gives us the following formula:

    V = 25,635 - 3000y

    (This is because we start with a value of $25,635 and the value decreases by $3,000 every year 'y')

    Now, we want to know when the car is worth $3,135, so we know V = 3,135

    Now we can make up our equation:

    25,365 - 3,000y = 3,135

    Collecting terms gives us:

    -3,000y = - 22,500

    Finally we divide by - 3,000 to find 'y'

    y = - 22,500 / - 3,000 = 7.5

    Hence, the car will be worth $3,135 after 7.5 years.
  2. 15 May, 05:57
    0
    7.5 years ...
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