**Text Transcription for Educational Website:**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.---**Graph/Diagram Explanation:**For section (f), you need to sketch a linear graph where the x-axis represents the steepness angle \( a \) and the y-axis represents the maximum speed \( s \). The line should intersect the points corresponding to the given conditions (55 mph at 5°, 104 mph at -2°). The slope and intercepts will provide insights into the relationship between hill steepness and maximum achievable speed.

Steep slopes rise at a very sharp angle and are difficult to climb. Speed is the rate at which an…

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?