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

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) (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
-------------
Cheers,
Stan H.
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