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.?

Question

Izayah Bates

Mathematics

10 February, 21:17

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.?

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Answers (2)

Know the Answer?

Jacqueline Liu · Answer 1

Answer: 74

Step-by-step 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

Mikayla Friedman · Answer 2

Answer: 47

Step-by-step 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