The cost for driving a car at various speed is affected by engine efficiency and wind speed. when driving at slow speeds the engine is not very efficient. when driving at high speeds eind resistamce lowers engine efficiency. moderate speeds are actually. as a result the number of cents per kilometers it costs to drive a car varies quadratically with the number of kilometers per hour.

a. write a representative quadratic function if it cost 28,21, and 16 cents per kilometer to drive at 10,20 and 30 kph, respectively

b. what would be the cost of driving 150 kph?

c. what range of speeds would allow you to keep your cost at no more than 13 cents per kilometer? sketch a representative graph for this situation

d. if you wanted your cost per kilometer to be 10 cents , should you purchase a car represented by this data? explain your answer.

e. at what speed will you get the lowest cost per kilometer? what will be the cost per kilometer at the speed? what part of the function represents this situation?

answer all the questions