4) Assume that the maximum speed your car will go varies linearly with the steepness of th that the car can go a maximum of 55 mph up a 5° hill, and a maximum of 104 mph down a thought of as going up a hill of -2°. Be sure to include the negative!) a) Write the equation expressing maximum speed, s, in terms of the steepness angle, a. b) How fast could you go down a 7° hill? c) If your top speed is 83 mph, how steep is the hill? Is it up or down?
4) Assume that the maximum speed your car will go varies linearly with the steepness of th that the car can go a maximum of 55 mph up a 5° hill, and a maximum of 104 mph down a thought of as going up a hill of -2°. Be sure to include the negative!) a) Write the equation expressing maximum speed, s, in terms of the steepness angle, a. b) How fast could you go down a 7° hill? c) If your top speed is 83 mph, how steep is the hill? Is it up or down?
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Transcribed Image Text:4) Assume that the maximum speed your car will go varies linearly with the steepness of the hill it is traveling on. Suppose
that the car can go a maximum of 55 mph up a 5° hill, and a maximum of 104 mph down a 2° hill. (Going downhill can be
thought of as going up a hill of -2°. Be sure to include the negative!)
a) Write the equation expressing maximum speed, s, in terms of the steepness angle, a.
b) How fast could you go down a 7° hill?
c) If your top speed is 83 mph, how steep is the hill? Is it up or down?
d) What does the speed-intercept equal? Write a sentence explaining what this number tells you about the real world.
e) What does the steepness angle-intercept equal? Write a sentence explaining what this number tells you about the real
world.
f) Sketch the graph of the equation.
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