Temp (°F) 180
123
A cake recipe says to bake the cake until the center is 180°F, then let the cake cool to 100°F. The table
shows temperature readings for the cake.
a. Given a room temperature of 69°F, what is an
exponential model for this data set?
b. How long does it take the cake to cool to the desired
temperature?
Time (min)
0
5
10
15
20
78
72
a. The exponential model is y = 123.940(0.835)* + 69
(Type an expression using x as the variable. Use integers or decimals for any numbers in the expression Round to three decimal places as needed.)
b. The cake takes about min to cool to 100°F
(Use the answer from part a to find this answer. Round to one decimal place as needed.)
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