SOLUTION: henry is driving to Boston. Suppose that the remaining distance to drive in miles is a linear function of his driving time in minutes). When graphed, the function gives a line wit

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Question 1085858: henry is driving to Boston. Suppose that the remaining distance to drive in miles is a linear function of his driving time in minutes). When graphed, the function gives a line with a slope of -0.95. Henry has 55 miles remaining after 44 minutes of driving. How many miles will be remaining after 64 minutes of driving.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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henry is driving to Boston.
Suppose that the remaining distance to drive in miles is a linear function of his driving time in minutes).
When graphed, the function gives a line with a slope of -0.95.
x = minutes, y = distance remaining
y = -.95x + b
Henry has 55 miles remaining after 44 minutes of driving.
55 = -.95(44) + b
Find b
55 = -41.8 + b
55 + 41.8 = b
b = 96.8 (distance to Boston)
the equation then
y = -.95x + 96.8
:
How many miles will be remaining after 64 minutes of driving.
y = -.95(64) + 96.8
y = 36 miles