The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company: graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. the vertex is at 5, 160 part a: what are the x-intercepts and what do they represent in the context of the problem. what is the maximum value of the graph and what does it represent in the context of the problem? (6 points) part b: what is an approximate average rate of change of the graph from x = 5 to x = 8, and what does this rate represent? (4 points) (10 points)

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)