Problema Solution

A car is traveling down a long, steep hill. The elevation, E, above sea level (in feet) of the car when it is d miles from the top of the hill is given by E=7500-250d, where d can be any number from 0 to 6. Find the slope and y-intercept of the graph of this function and explain what they mean in the context of the moving car.

Answer provided by our tutors

E=7500-250d


the slope is m = -250 negative the road is descending by angle A and


m = tang (angle A)


we get the y-intercept for d = 0 (assuming that the values of E go on the y-axis and the value of d on x-axis)


E = 7500 - 250*0


E = 7500 ft


the y-intercept is (0, 7500) this means the top of the hill is at 7500 ft above the sea level.