Question

The equation ​ yˆ=−0.37x2+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 10 a.m.?

Answer 1

y = 73.8 ° F

Explanation:

If x is the average temperature in October in Fahrenheit in an agricultural community after 5 am, then the temperature at 10 am is the temperature 5 hours later:

Therefore, if it is required to know the temperature at 10am, the function must be evaluated at x = 5

`y = -0.37 (5)^2 + 6.15 (5) + 52.3`

y = 73.8 ° F

The temperature in October is 73.8 ° F

Answer 2

The equation
`y=-0.37x^2+6.15x+52.3`​ the best estimate for the average temperature in October at 10 a.m.​ approximates the average temperature in October in degrees Fahrenheit at an agricultural community after 5 am

We need to find the best estimate for the average temperature in October at 10 a.m.

From 5 am to 10 am its 5 hours

x is the number of hours

So we plug in 5 for x in the given equation

`y=-0.37x^2+6.15x+52.3`

`y=-0.37(5)^2+6.15(5)+52.3`

y= 73.8

73.8 is the best estimate for the average temperature in October at 10 a.m.