Question

A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after t minutes is modeled by the function T=72+200e^-0.045t. Which graph represents the model?

Answer 1

Answer:

B is correct graph.

Step-by-step explanation:

Given: A pizza is taken out of an oven and placed on a counter. The temperature, T, in degrees Fahrenheit, of the pizza after t minutes is modeled by the function, $T=72+200e^{-0.045t}$

We need to choose the correct graph.

First we make table of given model for different value of t. We will take some random value of t and solve for T

t should be greater than 0 because time is positive.

      t          $T=72+200e^{-0.045t}$

     0           $T=72+200e^{-0.045\cdot 0}=272$

     10          $T=72+200e^{-0.045\cdot 10}=199.53$

     20         $T=72+200e^{-0.045\cdot 20}=153.32$

     30         $T=72+200e^{-0.045\cdot 30}=123.85$

Plot the points on graph and match with correct option.

Please see the attachment for graph.

Hence, B is correct graph.

Answer 2

The answer was the second graph, or B