12. A race car is running practice laps in preparation for an upcoming race. To judge how

the car is performing, the crew takes measurements of the car’s speed S(t) (in miles per

hour, or mph) every minute. The measurements are given in the table below.


t (minutes) S(t) (mph)

0 201

1 205

2 208

3 214

4 218

5 212

6 219

7 223

8 220

9 221

10 217

11 218


A. Use the trapezoid rule with 4 equal subdivisions to approximate the total distance the car

traveled (in miles) over the first 12 minutes.


B.Find one approximation for Sv(6), including the units. Explain what this quantity means in

the context of the problem.


C. What was the car’s average speed in mph over the first 12 minutes? If the car needs to

have an average speed of 210 mph to qualify for the race, is it currently running fast enough

to qualify?