keir1234
Answered

In 12 hours, the temperature fell steadily from 17°F to 7°F. What was the average change in temperature per hour? ​

Verified Answer :

tracycherry

In 12 hours, the temperature went from 17 degrees to 7 degrees.  

17-7 = 10

10 degree temperature drop in 12 hours.

10/12=temperature drop per hour

8.333 (continuing) degree drop per hour

Answer:

The temperature fell 5 °F per every six hours, which is approximately 0.83 °F per hour.

Step-by-step explanation:

Givens

  • The temperature fell from 17 °F to 7°F, in 12 hours.

When the problem says "steadily", it means that the temperature is falling down in a linear way.

Now, to find the rate  between temperature and time, we just need to divide the difference of temperature and the number of hours,

\(r=\frac{\Delta T}{h}=\frac{7-17}{12}=\frac{-10}{12} =-\frac{5}{6}\approx -0.83\)

Therefore, the temperature fell 5 °F per every six hours, which is approximately 0.83 °F per hour.