The temperature of a weather station was 12.8°F
at midnight and fell 1.4°F
each hour for six hours. Which of the following solutions are viable for (h,T) where h is the number of hours after midnight and T is the temperature in degrees Fahrenheit?(1 point)
Responses
(5, 5.8)
(5, 5.8)
(7,3)
open paren 7 comma 3 close paren
(4, 18.4)
(4, 18.4)
(−1, 14.2)
The temperature at midnight was 12.8°F. It then fell 1.4°F each hour for six hours. We can calculate the temperature at each hour by subtracting 1.4°F from the previous hour's temperature.
Hour 1: 12.8°F - 1.4°F = 11.4°F
Hour 2: 11.4°F - 1.4°F = 10°F
Hour 3: 10°F - 1.4°F = 8.6°F
Hour 4: 8.6°F - 1.4°F = 7.2°F
Hour 5: 7.2°F - 1.4°F = 5.8°F
Hour 6: 5.8°F - 1.4°F = 4.4°F
The only viable solution for (h, T) is (5, 5.8) since it matches the temperature at hour 5.