Question

The equation ​ yˆ=−6.2x2+51.5x+10.2 ​ approximates the average number of cars that pass through an intersection x hours after 3:00 p.m. What is the best estimate for the average number of cars that pass through the intersection at 6:30 p.m.?

Answer 1

we have that
yˆ=−6.2x²+51.5x+10.2

At 6:30 p.m
x=[6:30 p.m-3:00 p.m]-------- x=3.5 hours
yˆ=−6.2*3.5²+51.5*3.5+10.2-----> y=113.8

the answer is
The average number of cars that pass through an intersection at 6:30 p.m is 113.8