SOLUTION: A piece of pottery is removed from a kiln and allowed to cool in a controlled environment. The temperature (in degrees Fahrenheit) of the pottery after it is removed from the kiln

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Question 1131738: A piece of pottery is removed from a kiln and allowed to cool in a controlled environment. The temperature (in degrees Fahrenheit) of the pottery after it is removed from the kiln for various times (in minutes) is shown in the following table.
Time (min) Temperature (°F)
15 2000
20 1950
30 1850
60 1550
(a) Find a linear model for the temperature of the pottery after t minutes.
T(t) =_______
(b) Explain the meaning of the slope of this line in the context of the problem.
The value of the slope means that the temperature is decreasing at a rate of______°F per minute.
(c) Assuming the temperature continues to decrease at the same rate, what will be the temperature of the pottery in 3 hours?____________°F
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The data looks like a line.

T=mx%2Bb
b=f-mx
b=1550-%28%281550-2000%29%2F%2860-15%29%2960
b=1550%2B%28450%2F45%2960
b=1550%2B600
b=2150
-
highlight_green%28T=-10x%2B2150%29

3 hours is 180 minutes.
If 180 minutes counted from time of removal from kiln then T=-10%2A180%2B2150=highlight_green%28350%29.