Question

The equation ​ yˆ=−5.9x2+39x+2.2 ​ 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 4:30 p.m.?

Answer 1

Answer: 47

Explanation:

x = 4:30 - 3:00

= 1:30

= 1.5 hours

y = -5.9x² + 39x + 2.2

= -5.9(1.5)² + 39(1.5) + 2.2

= -5.9(2.25) + 58.5 + 2.2

= -13.275 + 60.7

= 47.425

Answer 2

Answer: 74

Explanation:

x = 4:30 - 3:00

= 1:30

= 1.5 hours

y = -5.9x² + 39x + 2.2

= -5.9(1.5)² + 39(1.5) + 2.2

= -5.9(2.25) + 58.5 + 2.2

= 13.275 + 60.7

= 73.975