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

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

Solution:

Number of hours after 5 a.m.: x

At 10 a.m.→x=10-5→x=5

​ yˆ=−0.37(5)^2+6.15(5)+52.3

yˆ=−0.37(25)+30.75+52.3

yˆ=−9.25+30.75+52.3

yˆ=73.8

Answer: The best estimate for the average temperature in October at 10 a.m. is 73.8 degrees Fahrenheit.