04.02.2023

# When Quinn got home, he turned the air conditioner on. TTT represents the temperature in Quinn's home (in degrees Celsius) after ttt minutes. T=42-0.7tT=42−0.7tT, equals, 42, minus, 0, point, 7, t How fast did the temperature drop?

7

02.11.2022, solved by verified expert

The temperature drops at a rate 0.7 degrees Celsius per minutes.

Step-by-step explanation:

We are given

T(t) = 42 -0.7t

where

T models the temperature in Quinn's home (in degrees Celsius) after t minutes

t is time in minutes

Since, we have to find rate of change of temperature

so, we will find derivative

T'(t)=0-0.7 x 1

T'(t) = 0.7

### Faq

Mathematics

The answer is in the image

Mathematics

Answer is 0.7 degrees celcius per minute

Explanation:

given that T(t) = 42-0.7t

We have to find the rate of drop of temperature.

For that we find drop of T in 1 minute

Consider T(t) for t minutes and t+1 minutes

T(t+1) = 42-0.7(t+1)

T(t) = 42-0.7t

Difference i.e. drop in temperature in one minute

= T(t+1)-T(t)

= 42-0.7(t+1)-(42-0.7t)   =-0.7

Hence drop per minute = 0.7 degree celcius.

Mathematics

We are given

where

T models the temperature in Quinn's home (in degrees Celsius) after t minutes

t is time in minutes

Since, we have to find rate of change of temperature

so, we will find derivative

So, the temperature drops at a rate 0.7 degrees Celsius per minutes.........Answer

Mathematics

We are given

where

T models the temperature in Quinn's home (in degrees Celsius) after t minutes

t is time in minutes

Since, we have to find rate of change of temperature

so, we will find derivative

So, the temperature drops at a rate 0.7 degrees Celsius per minutes.........Answer

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