A commuter regularly drives 30 miles from home to work, and the amount of time required for the trip varies widely as a result of road and traffic conditions. The average speed for such a trip is a function of the time required. For example, if the trip takes 2 hours, then the average speed is= 15miles per hour.(a) What is the average speed if the trip takes an hour and a half? (Round your answer to three decimal places.)mph(b) Find a formula for the average speed s as a function of the time t required for the trip.mph(c) Make the graph of the average speed as a function of the time required. Include trips from 1 hour to 3 hours in length.2502502002001501501001005001 12 14 1.6 18 2 2.2 24 2.6 2.8 301 12 14 1.6 18 2 2.2 24 2.6 2.8 3250250200200150150100100505001 12 14 1.6 1.8 2 22 24 2.6 2.0 301 12 14 1.6 18 2 2.2 24 2.6 2.0 3(d) Is the graph concave up or concave down?O concave upO concave downExplain in practical terms what this means.O As the time required increases, the average speed decreases at a constant rate.O As the time required increases, the average speed decreases at a decreasing rate.O As the time required incre ases, the average speed decreases at an increasing rate.O As the time required increases, the average speed increases at a constant rate.

A commuter regularly drives 30 miles from home to work, and the amount of time required for the trip varies widely as a result of road and traffic conditions. The average speed for such a trip is a function of the time required. For example, if the trip takes 2 hours, then the average speed is 20- 15 miles per hour. (a) What is the average speed if the trip takes an hour and a half? (Round your ansver to three decimal places.) mph (b) Find a formula for the average speed s as a function of the time t required for the trip. mph (c) Make the graph of the average speed as a function of the time required. Include trips from 1 hour to 3 hours in length. 150 150 100 so o A A a 24 26 2 as0 200 20 150 100 100

A commuter regularly drives 30 miles from home to work, and the amount of time required for the trip varies widely as a result of road and traffic conditions. The average speed for such a trip is a function of the time required. For example, if the trip takes 2 hours, then the average speed is 20- 15 miles per hour. (a) What is the average speed if the trip takes an hour and a half? (Round your ansver to three decimal places.) mph (b) Find a formula for the average speed s as a function of the time t required for the trip. mph (c) Make the graph of the average speed as a function of the time required. Include trips from 1 hour to 3 hours in length. 150 150 100 so o A A a 24 26 2 as0 200 20 150 100 100