Question

The equation

^
Y=-0.37x^2+6.15x+52.3 approximates the average temperature in October in degrees Fahrenheit at an agricultural community x hours after 5 a.m.

What is the best estimate for the average temperature in October at 2 p.m.?

64 F
67 F
71 F
78 F

Answer 1

best approximate is 78 F. to find x, count number of hours between 5 am and 2 pm (which is 9). Substitute 9 into the equation and solve. hope this helps!

Explanation:

`y = - 0.37 {x}^(2) + 6.15x + 52.3 \\ y = - 0.37 ({9}^(2) ) + 6.15(9) + 52.3 \\ y = - 0.37(81) + 6.15(9) + 52.3 \\ y = - 29.97 + 55.35 + 52.3 \\ y = 77.68`