The graph was created using Stat Crunch with data obtained from AccuWeather.com. The graph indicates the hourly temperature, in degrees Fahrenheit, in Lakewood Ranch, Florida, from 10 a.m. to 6 p.m. on Sunday, March 17, 2019. The quadratic function t(x) = -0.65x² + 5.16x + 64.42 can be used to estimate the hourly temperature, where x is the number of hours since 10 a.m. and 0 ≤ x ≤ 8.

a) Use the function t(x) to estimate the temperature in Lakewood Ranch at 1 p.m. Round your answer to the nearest degree.

b) Use the graph to determine the hour that the temperature was a maximum.

c) Determine the x-coordinate of the vertex of the graph of t(x). Then use this value in t(x) to estimate the maximum temperature. Round your value of x to the nearest hour. Round your answer for the temperature to the nearest degree.

Transcribed Image Text:

Hourly Temperature in Lakewood Ranch, Florida, on March 17, 2019 80 60 40 20 10 11 12 1 2 3 4 5 6 Time Temperature("F)