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Steve prepared a mango smoothie in which he churned the mixture at a temperature of $158^\circ F$ . He kept the mixture in the blast freezer, and after $15$ minutes, the temperature was reduced to $-7^\circ$ . What was the average rate at which the temperature of the smoothie dropped per minute? $\newline$

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Add and subtract integers: word problems

Full solution

Q. Steve prepared a mango smoothie in which he churned the mixture at a temperature of

158^\circ F

. He kept the mixture in the blast freezer, and after

15

minutes, the temperature was reduced to

-7^\circ

. What was the average rate at which the temperature of the smoothie dropped per minute?

\newline

Calculate total change: Calculate the total change in temperature from $158\degree F$ to $-7\degree F$ . $\newline$ Total change = Initial temperature - Final temperature $\newline$ Total change = $158 - (-7) = 165\degree F$
Determine time span: Determine the time over which the temperature change occurred. $\newline$ Time = $15$ minutes
Calculate average rate: Calculate the average rate of temperature change per minute. $\newline$ Average rate $= \frac{\text{Total change in temperature}}{\text{Time}}$ $\newline$ Average rate $= \frac{165}{15} = 11\,^\circ\mathrm{F}$ per minute

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