The graph below shows the number of fatal automobile accidents in California for various years. Estimate the total number of accidents in the 8-year period from 2009 to 2017 using rectangles of width 2 years.

The next two graphs are from the Road & Track website. The curves show the velocity at t seconds after the car accelerates from a dead stop. To find the total distance traveled by the car in reaching 130 mph, we must estimate the definite integral

where T represents the number of seconds it takes for the car to reach 130 mph. Use the graphs to estimate this distance by adding the areas of rectangles using the midpoint rule. To adjust your answer to miles per hour, divide by 3600 (the number of seconds in an hour). You then have the number of miles that the car traveled in reaching 130 mph. Finally, multiply by 5280 ft per mile to convert the answer to feet.

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Fatal collisions per year 4500 4000 3500 3000 2500 2000 1500 1000 500 0 2805 2009 2628 2011 2853 2013 Year 3168. 2015 3582 2017