A can of soda is initially at room temperature, 7 2 . 3 Fahrenheit, and at time
Fantastic news! We've Found the answer you've been seeking!
Question:
A can of soda is initially at room temperature,
Fahrenheit, and at time t
is placed in a refrigerator set at
In addition, we know that after minutes, the sodas temperature has
dropped to
Let Ft represent the temperature of the soda in degrees Fahrenheit at time in minutes.
a Use algebraic reasoning and your understanding of the physical situation to determine the exact values
of a c and k in the model Ft aekt c Show your steps, with sentences to explain your thinking.
Hint: This is similar to Activity that we did in class. The long term behavior tells you the value
of c and the initial temperature tells you F which is a c Use the last point to find k
b Determine the exact time the objects temperature is
Clearly show your algebraic work and
thinking. Hint: In part a you should have gotten Fte
t If you didnt go back!
To solve this problem, a natural logarithm to get a variable out of the exponent.
c In Desmos, enter the function F using the numbers you found in part a Use Desmos to find the
average rate of change of F on the interval What is the meaning
with units of these values?
d Select two from the following list that are true about the function F
i decreasing at a decreasing rate
ii decreasing at an increasing rate
iii. increasing at a decreasing rate
iv increasing at an increasing rate
v concave up
vi concave down
Explain how you know using your answers in part c
Related Book For
Posted Date: