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valentina_108 [34]
3 years ago
10

When Quinn got home, he turned the air conditioner on. T(t)T(t)T, left parenthesis, t, right parenthesis models the temperature

in Quinn's home (in degrees Celsius) after ttt minutes. T(t)=42-0.7tT(t)=42?0.7tT, left parenthesis, t, right parenthesis, equals, 42, minus, 0, point, 7, t How fast did the temperature drop?
Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

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.

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