The traffic flow rate (cars per hour) across an intersection is r ( t ) = 500 + 1000 t − 150 t^2

Question

where t is in hours, and t =0 is 6am. How many cars pass through the intersection between 6 am and 7 am?

Answer 1

r(t) = 500 +1000t -150t^2

r(0) = 500

r(1) =500+1000-150 = 1350

r(1)-r(0) = 1350-500 = 850 cars