Question 392820: Laura is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.75 . See the figure below.
Laura has 51 miles remaining after 33 minutes of driving. How many miles were remaining after 15 minutes of driving?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Laura is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes).
When graphed, the function gives a line with a slope of -0.75 .
See the figure below.
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Write the linear function as
remaining distance = -0.75(drive time) + (intercept)
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Laura has 51 miles remaining after 33 minutes of driving.
That gives you the following:
51 = -0.75(33) + intercept
intercept = 75.75
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Equation is rd = -0.75t + 75.75
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How many miles were remaining after 15 minutes of driving?
rd(15) = -0.75*15+75.75
rd(15) = 64.5 miles
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Cheers,
Stan H.
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