Question

Liz's tea was too hot to drink, so she put it in the freezer. The temperature of the tea was

initially 175°F, and it decreased by about 7% each minute. You can use a function to
approximate the temperature of Liz's tea x minutes after she put it in the freezer.
Is the function linear or exponential?
linear
Which equation represents the function?
f(x) = -0.07x + 175
exponential
Submit
f(x) = 175(0.93)*

Answer 1

The function that approximates the temperature of Liz's tea after x minutes is an exponential function, since the temperature is decreasing by a constant percentage each minute.

The correct equation that represents the function is:

f(x) = 175(0.93)^x

This is an exponential function of the form y = ab^x, where a = 175 is the initial temperature of the tea, b = 0.93 is the common ratio (since the temperature is decreasing by 7% each minute), and x is the number of minutes that have passed since the tea was put in the freezer.