temp of potato

course Mth 173

The Celsius temperature of a hot potato placed in a room is given by the function T = 41* 2- .0083 t + 17 , where t is clock time in seconds and T is temperature in Celsius. At what average rate is the temperature of the potato changing between clock times t = 15 and t = 15.1 seconds seconds?

the temperature at t = 15 is 611.47 when it is plugged in to equation and the temp at t = 15.1 is 615.55 so therefore the average = change in temp/ change in clock time and the average time is 40.8C/s

At what average rate is the temperature of the potato changing between clock times t = 15 and t = 15.01 seconds?

average time is 41 C/s

At what average rate is the temperature of the potato changing between clock times t = 15 and t = 15.001 seconds?

average time is 40 C/s

What do you estimate is the rate at which temperature is changing at clock time t = 15 seconds?

when t=15 is plugged into the equation the temp is 611.47

The rate at which the Celsius temperature of a hot potato placed in a room is given by Rate = .049 * 2- .0083 t, where R is rate of change in Celsius degrees per second and t is clock time in seconds. How much temperature change do you estimate would occur between t = 15 and t = 30 seconds? -2.46 * (10 x -4)

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You didn't use enough significant figures when calculating your average rates, or you would have seen more clearly the approach to the limit.

You don't give an explanation of your calculation or your thinking on the last question. Can you send a copy and amplify your thinking a bit?