Question

1. There are 75 voters waiting in line to vote when a large polling station opens its doors on election day. Once the doors open, new voters arrive until the polling station closes 8 hours later. The graph below shows the rate of change, an, in the number of people in line throughout the day. Time t is measured in hours from the time the doors open. "(t) N H 2 3 4 5 6 7 Time (hours) +-150 (a) Write an expression using integral notation that represents the change in the number of voters in line, AN, at the polling station between t = 6 and t = 8 and shade the area in your graph that corresponds to the expression you wrote. Be sure that your writing shows correct usage of integral notation, with: • The correct integrand. • The correct differential. • Correct integration limits.