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A house was purchased for $140,000. Three years later, the value of the house was $155,000. If the value V of the house increased linearly from the date it was purchased, which of the following represents the value, in dollars, of the house t years after the date it was purchased?

A. V=140,000 + 15,000t
B. V=140,000 + 5,000t
C. V=140,000 + 15,000(t-3)
D. V=140,000 + 5,000(t-3)

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Kylie

  1. All your choices resemble the slope-yintercept form of a linear equation in the
    form
    y = mx + b, or V = b + mt if you wish.
    you are just given two points, (0,140000) and (3,155000)
    the slope would be 155000-140000)/3 = 5000
    So which equation shows a slope of 5000 and a V intercept of 140,000 ?

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    Reiny

  2. 155 - 140 = 15
    so
    m = 15,000 in y = m x + b
    V = 15,000 t + 140,000

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    Damon

  4. sorry m = 15/3 = 5

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    Damon

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