A certain office can purchase a photocopier for $5400 with a maintenance fee of $15 a month. On the other hand, they can rent the photocopier for $75 a month (including maintenance). If they purchase the photocopier, each copy would cost 3¢; if they rent, the cost is 6¢ per copy. The office manager estimates that they make 6000 copies a month. (a) Find a linear function C that models the cost C(x) (in dollars) of purchasing and using the copier for x months. C(x) = 5400+1804.5x (b) Find a linear function S that models the cost S(x) (in dollars) of renting and using the copier for x months. S(x) = 360x (c) Make a table of the cost of each method for 1 year to 3 years of use, in 6-month increments. x C(x) S(x) 6 12 18 24 30 36
A certain office can purchase a photocopier for $5400 with a maintenance fee of $15 a month. On the other hand, they can rent the photocopier for $75 a month (including maintenance). If they purchase the photocopier, each copy would cost 3¢; if they rent, the cost is 6¢ per copy. The office manager estimates that they make 6000 copies a month. (a) Find a linear function C that models the cost C(x) (in dollars) of purchasing and using the copier for x months. C(x) = 5400+1804.5x (b) Find a linear function S that models the cost S(x) (in dollars) of renting and using the copier for x months. S(x) = 360x (c) Make a table of the cost of each method for 1 year to 3 years of use, in 6-month increments. x C(x) S(x) 6 12 18 24 30 36
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 24CR: An outpatient operating room charges each patient a fixed amount per surgery plus an amount per...
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A certain office can purchase a photocopier for $5400 with a maintenance fee of $15 a month. On the other hand, they can rent the photocopier for $75 a month (including maintenance). If they purchase the photocopier, each copy would cost 3¢; if they rent, the cost is 6¢ per copy. The office manager estimates that they make 6000 copies a month.
(a) Find a linear function C that models the cost
(b) Find a linear function S that models the cost
(c) Make a table of the cost of each method for 1 year to 3 years of use, in 6-month increments.
(d) For how many months of use would the cost be the same for each method? (Round your answer to the nearest month.)
months
C(x)
(in dollars) of purchasing and using the copier for x months.| C(x) | = |
5400+1804.5x
|
(b) Find a linear function S that models the cost
S(x)
(in dollars) of renting and using the copier for x months.| S(x) | = |
360x
|
(c) Make a table of the cost of each method for 1 year to 3 years of use, in 6-month increments.
|
x
|
C(x)
|
S(x)
|
|---|---|---|
| 6 | ||
| 12 | ||
| 18 | ||
| 24 | ||
| 30 | ||
| 36 |
months
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