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When Quinn got home, he turned the air conditioner on.

Q represents the temperature in Quinn's home (in degrees Celsius) after
t minutes.

Q=42-0.7 t
What was the temperature when Quinn returned home?
degrees Celsius

When Quinn got home, he turned the air conditioner on. $\newline$ $Q$ represents the temperature in Quinn's home (in degrees Celsius) after $t$ minutes. $\newline$ $Q=42-0.7 t$ $\newline$ What was the temperature when Quinn returned home? $\newline$ degrees Celsius

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Write exponential functions: word problems

Full solution

Q. When Quinn got home, he turned the air conditioner on.

\newline

Q

represents the temperature in Quinn's home (in degrees Celsius) after

t

minutes.

\newline

Q=42-0.7 t

\newline

What was the temperature when Quinn returned home?

\newline

degrees Celsius

Consider Time $t=0$ : To find the temperature when Quinn returned home, we need to consider the time $t=0$ , since the equation $Q=42-0.7t$ gives us the temperature $Q$ after $t$ minutes. When Quinn just got home and turned on the air conditioner, no time has passed, so $t=0$ .
Substitute $t=0$ : Substitute $t=0$ into the equation $Q=42-0.7t$ to find the initial temperature. $\newline$ $Q = 42 - 0.7(0)$
Calculate Q Value: Calculate the value of Q when $t=0$ . $Q = 42 - 0$ $Q = 42$

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