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Answer :
To find the average temperature change per hour, we need to follow these steps:
1. Calculate the Total Temperature Change:
- The temperature started at [tex]\(41^\circ F\)[/tex] and fell to [tex]\(-13^\circ F\)[/tex].
- The total change in temperature is calculated by subtracting the final temperature from the starting temperature:
[tex]\[
\text{Total temperature change} = -13 - 41 = -54^\circ F
\][/tex]
This means the temperature dropped [tex]\(54^\circ F\)[/tex] over the 24-hour period.
2. Calculate the Average Temperature Change per Hour:
- We need to find out how much the temperature changed per hour over the 24-hour period.
- To do this, divide the total temperature change by the number of hours:
[tex]\[
\text{Average temperature change per hour} = \frac{-54}{24} = -2.25^\circ F
\][/tex]
This calculation tells us that, on average, the temperature decreased by [tex]\(-2.25^\circ F\)[/tex] each hour.
Therefore, the correct answer is [tex]\(-2.25^\circ F\)[/tex].
1. Calculate the Total Temperature Change:
- The temperature started at [tex]\(41^\circ F\)[/tex] and fell to [tex]\(-13^\circ F\)[/tex].
- The total change in temperature is calculated by subtracting the final temperature from the starting temperature:
[tex]\[
\text{Total temperature change} = -13 - 41 = -54^\circ F
\][/tex]
This means the temperature dropped [tex]\(54^\circ F\)[/tex] over the 24-hour period.
2. Calculate the Average Temperature Change per Hour:
- We need to find out how much the temperature changed per hour over the 24-hour period.
- To do this, divide the total temperature change by the number of hours:
[tex]\[
\text{Average temperature change per hour} = \frac{-54}{24} = -2.25^\circ F
\][/tex]
This calculation tells us that, on average, the temperature decreased by [tex]\(-2.25^\circ F\)[/tex] each hour.
Therefore, the correct answer is [tex]\(-2.25^\circ F\)[/tex].
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