Concept explainers
Cooling Time of a Pizza Apizza baked at
At what time can you begin eating the pizza if you want its temperature to be
Determine the time that needs to elapse before the temperature of the pizza is
What do you notice about the temperature as time passes?
(a)
To calculate: The time when the temperature of the pizza would be
Answer to Problem 13AYU
Solution:
After
Explanation of Solution
Given information:
A pizza baked at
Formula used:
The temperature
Where
Calculation:
The constant room temperature is
Therefore, plug the values
Since the temperature of pizzais
To find the value of
Subtract
Divide by
Taking logarithm on both sides of the equation,
Substitute
To find the time when temperature of pizza is
By subtracting
By dividing both sides by
By taking logarithm on both sides,
By dividing both sides by
Thus, after
(b)
The time that needs to elapse before the temperature of the pizza is
Answer to Problem 13AYU
Solution:
About
Explanation of Solution
Given information:
A pizza baked at
Explanation:
From part (a), the equation of Colling is
To find the time
By subtracting
By dividing by
By taking logarithm on both sides,
By dividing both sides by
Thus, about
(c)
The behavior of the temperature as time passes.
Answer to Problem 13AYU
Solution:
As time passes, the temperature of the pizza decreases to constant room temperature
Explanation of Solution
Given information:
A pizza baked at
Explanation:
From part (a), the equation of Colling is
As time
That implies,
Therefore,
Thus, as time passes, the temperature of the pizza decreases to constant room temperature
Chapter 5 Solutions
Precalculus
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