SOLUTION: Maya is driving to Phoenix. 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 w

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Question 1009079: Maya is driving to Phoenix. 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
−0.7
. See the figure below.
Maya has
65
miles remaining after
37
minutes of driving. How many miles will be remaining after
45
minutes of driving?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Maya is driving to Phoenix. 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
−0.7
. See the figure below.
y = -0.7x + b
-------------------
Maya has 65 miles remaining after 37 minutes of driving.
Use those values to solve for "b"::
65 = -0.7*37 + b
b = 90.9
----
Equation::
y = -0.7x + 90.9
--------------------------------------
How many miles will be remaining after
45 minutes of driving?
f(45) = -0.7*45 + 90.9
f(45) = 59.4 miles
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Cheers,
Stan H.
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