Concept explainers
(a)
To write: an equation that represents the total cost of the stickers as a function of the number of stickers ordered.
(a)
Answer to Problem 33E
The line equation is C = 80n +145.
Explanation of Solution
Given:
Consider an initial payment of $225 for printing 1000 stickers and $80 for each additional 1000 stickers.
Calculation:
The objective is to write an equation that represents the total cost of stickers as a function of the number of stickers ordered.
For first 1000 stickers, payment is $225
For 2000 stickers, payment is
For 3000 stickers, payment is
Let n be number of the stickers and C be the total payment.
Here
The common difference between the of stickers
The common difference between the total payments
Use the linear equation
Find the value of m
The line equation is
Now find the value of b.
For
Conclusion:
Therefore, the line equation is C = 80n +145.
(b)
To find: the total cost of 9000 stickers.
(b)
Answer to Problem 33E
The costs of the 9000 stickers are $865.
Explanation of Solution
Calculation:
Find the total cost of 9000 stickers.
Since n is given in thousands, Substitute
Conclusion:
Therefore, the costs of the 9000 stickers are $865.
Chapter 4 Solutions
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