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topjm [15]
4 years ago
8

Multistep: At 7 p.M. Last night, the temperature was 10 degrees Fahrenheit. At 7 a.M. The next morning, the temperature was -2 d

egrees Fahrenheit. a. By how much did it change from 7 p.M. To 7 a.M.? b. The temperature changed by a steady amount overnight. By much did it change each hour?
Mathematics
1 answer:
shepuryov [24]4 years ago
8 0

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

Step-by-step 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.

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