Question

The equation ​yˆ=−6.2x2+41.5x−5.6​ 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 5:30 p.m.?

Answer 1

59

Explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

= - 38.75 + 103.75 - 5.6

= 59.4

The average number of cars is 59