The table shows predicted temperatures for a fall day in Orlando, Florida. Time Predicted
Temperature (°F)
8 A. M. 74
11 A. M. 81
2 P. M. 83
5 P. M. 81
8 P. M. 77
11 P. M. 74
a. Find an approximate quadratic model for the data.
b. Use your model to predict the high temperature for the day. At what time does the high temperature occur?
A. a. y = 0.15x2 − 2.7x + 88.5
b. about 76 °F; around 9 A. M.
B. a. y = 0.15x2 − 2.7x + 88.5
b. about 76 °F; around 9 P. M.
C. a. y = −0.15x2 − 4.4x + 50
b. about 82 °F; around 3 P. M.
D. a. y = −0.15x2 − 4.4x + 50
b. about 81.5 °F; around 2 P. M.