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 1128012: 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 2400
20 2350
30 2250
60 1950
(a) Find a linear model for the temperature of the pottery after t minutes.
T(t) =
he 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 MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a).
T%28t%29+=m%2At%2Bb
Time|Temperature
15+|2400+
20|+2350+
30|+2250+
60|+1950
Solved by pluggable solver: Finding the slope


Slope of the line through the points (15, 2400) and (20, 2350)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%282350+-+2400%29%2F%2820+-+15%29


m+=+%28-50%29%2F%285%29


m+=+-10



Answer: Slope is m+=+-10



T%28t%29+=-10t%2Bb
use one point to find b
2250+=-10%2A30%2Bb
2250+=-300%2Bb
2250+%2B300=b
b=2550
T%28t%29+=-10t%2B2550-> your function
The value of the slope -10 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?
that the temperature is decreasing at a rate of 1O°F per minute
T%28t%29+=-10t%2B2550 ...if t=3 hours=t=180 min
T%283%29+=-10%2A180%2B2550
T%283%29+=-1800%2B2550
T%283%29+=+750°F