note the slope from point to point:
(2150-2200)/(20-15) = -50/5 = -10
(2050-2150)/(30-20) = -100/10 = -10
(1750-2050)/(60-30) = -300/30 = -10
So, it looks like
F = -10T
But, F(15) = 2200, not -150
SO, making that adjustment, we have
F = 2350 - 10T
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 is shown for various times (in minutes) in the following table.
Time(min) Temperature (F)
15 2200
20 2150
30 2050
60 1750
a.) Find a linear model for the temperature of the pottery after t minutes
b.) Explain the meaning of the slope of this line in the context of the problem.
c.) Assuming that the temperature continues to decrease at the same rate, what will be the temperature of the pottery in 3 hours?
1 answer