The traffic flow rate cars per hour across an intersection i

The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 1000t - 270t^2, where t is in hours, and t = 0 is 6am. How many cars pass through the intersection between 6 am and 8 am? Preview cars

Solution

we are given

traffice flow rate

r(t)=300+1000t-270t^2

t=0 at 6am

now, we can find rate between 6m and 8m

t=8-6

t=2

now, we can plug t=2 and find rate

r(2)=300+1000*2-270(2)^2

r(2)=1220

r(2) =1220 car /hour between 6am to 8am

now, we can find total car by multiplying 2

because total 2 hours between 6am and 8am

so, total car = 1220*2

C=2440 cars..........Answer