Answer:
a. The amount by which the temperature changed from 7 p.m. to 7 a.m. is -12 degrees Fahrenheit
b. The change in temperature each hour is -1 degrees Fahrenheit each hour
Explanation:
The temperature at 7 p.m. last night = 10 degrees Fahrenheit
At 7 a.m. the next morning, the temperature = -2 degrees Fahrenheit
a. The amount, ΔT, by which the temperature changed from 7 p.m. to 7 a.m. is given as follows;
ΔT = (-2 - 10) degrees Fahrenheit = -12 degrees Fahrenheit
b. Given that the temperature changed by a steady amount over night, w have, the change each hour is given as follows;
The change in temperature each hour = (The change in temperature)/(The time duration for the change)
We note that the change in time from 7 p.m. last night to 7 a.m. the next morning = -(7 - 19) = 12 hours (The minus sign is used because the 7 a.m. in the morning is higher than the 19 hours in the previous night
The change in temperature each hour = ΔT/(19 - 7) = -12/12 = -1 degrees Fahrenheit each hour.