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Concept explainers
a.
Find the average rate of change of revenue from
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 73RE
Explanation of Solution
Given information:
The following data represent the revenue R (in dollars) received from selling
Find the average rate of change of revenue from
Calculation:
The data in this table represents the total revenue R in dollars received from
To find the average rate of change in revenue from
Plug these values into the average rate of change formula to find the average rate of change of revenue from
Hence, the average rate of change of revenue from
b.
Find the average rate of change of revenue from
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 73RE
Explanation of Solution
Given information:
The following data represent the revenue R (in dollars) received from selling
Find the average rate of change of revenue from
Calculation:
The data in this table represents the total revenue R in dollars received from
To find the average rate of change in revenue from
Plug these values into the average rate of change formula to find the average rate of change of revenue from
Hence, the average rate of change of revenue from
c.
Find the average rate of change of revenue from
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 73RE
Explanation of Solution
Given information:
The following data represent the revenue R (in dollars) received from selling
Find the average rate of change of revenue from
Calculation:
The data in this table represents the total revenue R in dollars received from
To find the average rate of change in revenue from
Plug these values into the average rate of change formula to find the average rate of change of revenue from
Hence, the average rate of change of revenue from
d.
Find the quadratic function of best fit.
d.
![Check Mark](/static/check-mark.png)
Answer to Problem 73RE
Explanation of Solution
Given information:
The following data represent the revenue R (in dollars) received from selling
Using a graphing utility, find the quadratic function of best fit.
Calculation: Use a best fit function on a graphing utility to find the quadratic function the best fits the data in the table.
On a graphing utility, enter the data points found in the table by hitting STAT , 1: Edit, and then entering the
Hence, the quadratic function that fits the data in the table the best is
e.
Determine the instantaneous rate of change of revenue at
e.
![Check Mark](/static/check-mark.png)
Answer to Problem 73RE
Explanation of Solution
Given information:
The following data represent the revenue R (in dollars) received from selling
Using the function found in part (d), determine the instantaneous rate of change of revenue at
Calculation:
To find the instantaneous rate of change of revenue at
So when
=
Hence, the instantaneous rate of change of revenue at
Chapter 14 Solutions
Precalculus
Additional Math Textbook Solutions
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