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R=42-0.7 t
Quinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The given equation shown gives the room's temperature,
R, in degrees Celsius,
t minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?

$R=42-0.7 t$ $\newline$ Quinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The given equation shown gives the room's temperature, $R$ , in degrees Celsius, $t$ minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?

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Write exponential functions: word problems

Full solution

Q.

R=42-0.7 t

\newline

Quinn returned home one summer's day to find it extremely hot. He turned the air conditioner on, and the room's temperature began decreasing at a constant rate. The given equation shown gives the room's temperature,

R

, in degrees Celsius,

t

minutes after Quinn turned on the air conditioner. What was the room's temperature, in degrees Celsius, when Quinn returned home?

Given Equation: We are given the equation $R = 42 - 0.7t$ , where $R$ is the room's temperature in degrees Celsius and $t$ is the time in minutes after Quinn turned on the air conditioner. To find the room's temperature when Quinn returned home, we need to consider the time $t = 0$ , since that is the moment he turned on the air conditioner.
Substitute $t = 0$ : Substitute $t = 0$ into the equation to find the initial temperature $R$ . $\newline$ $R = 42 - 0.7(0)$
Calculate Initial Temperature: Calculate the value of $R$ when $t = 0$ . $\newline$ $R = 42 - 0$ $\newline$ $R = 42$
Final Room Temperature: The room's temperature when Quinn returned home was $42$ degrees Celsius.

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