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Question 1107863: Suppose that speeding fines are determined by the linear function
f(x)= 10 (x-65)+50,xgreat then65, where f(x) is the cost in dollars of the fine if a person is caught driving x miles per hour.
(a) Radar clocked a driver at 76 mph. How much was the fine?
(b) While balancing his checkbook, a person ran across a canceled check that his wife had written to the Department of Motor Vehicles for a speeding fine. The check was written for $100. How fast was his wife driving?
(c) At what whole-number speed are tickets first given?
(d) For what speeds is the fine greater than $200?
(a) The fine was $
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that speeding fines are determined by the linear function
f(x)= 10 (x-65)+50,(x greater then 65), where f(x) is the cost in dollars of the fine if a person is caught driving x miles per hour.
(a) Radar clocked a driver at 76 mph. How much was the fine?
f(76) = 10(76-65)+50 = $160.00
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(b) While balancing his checkbook, a person ran across a canceled check that his wife had written to the Department of Motor Vehicles for a speeding fine. The check was written for $100. How fast was his wife driving?
100 = 10(x-65)+50
50 = 10(x-65)
5 = x-65
x = 70 mph
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(c) At what whole-number speed are tickets first given?
10(x-65)+50 >= 0
x-65 > - 5
x >= 70
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(d) For what speeds is the fine greater than $200?
10(x-65)+50 > 200
x-65 > 15
x > 80 mph
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Cheers,
Stan H.
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