SOLUTION: What is the solution to the speed on a hill problem.Assume that the maximum speed your car will go is a linear function of the steepness of the hill it is going up or down.Suppose

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Question 1072553: What is the solution to the speed on a hill problem.Assume that the maximum speed your car will go is a linear function of the steepness of the hill it is going up or down.Suppose that your car can go on a maximum of 55 mph up a 5 degree hill,and a maximum of 104 mph down a 2 degree hill.
How can get it right I got y =16.3 (x + 71.4) that gave me that if the slope is 7 degree the mph is 185.5.How can i solve it?
Found 2 solutions by stanbon, KMST:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
What is the solution to the speed on a hill problem.Assume that the maximum speed your car will go is a linear function of the steepness of the hill it is going up or down.Suppose that your car can go on a maximum of 55 mph up a 5 degree hill,and a maximum of 104 mph down a 2 degree hill.
You have two points relating speed and degree:: (+5,55) and (-2,104)
slope = (104-55)(-2-5) = 49/-7 = -7
speed = slope(degree) + b
Solve for "b"::
104 = -7*-2 + b
b = 90
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Ans: speed = -7(degree) + 90
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Cheers,
Stan H.
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Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website!
You are looking for a "linear function."
The is the equation of a straight line.
It must pass through points
(5,55) with , representing
going up a degree hill at a maximum speed of mph, and
(-2,104) with , representing
going down a degree hill at a maximum speed of mph.
The line passing through those two points has a slope of
.
The equation of a line with that slope, and going through point
(-2,104) with ,
can be written in point-slope form as

with a little work, we can get to the slope intercept form: