SOLUTION: An office manager will spend a total of ​$60,000 on computers at ​$2000 each and printers at ​$1600 each. Write the number of computers purchased as a function of the number

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An office manager will spend a total of ​$60,000 on computers at ​$2000 each and printers at ​$1600 each. Write the number of computers purchased as a function of the number       Log On


   

Question 1185361: An office manager will spend a total of ​$60,000 on computers at ​$2000 each and printers at ​$1600 each. Write the number of computers purchased as a function of the number of printers purchased. Find and interpret the slope
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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I would not state that the manager will spend all $60,000, in total.

It depends on how many printers he (or she) will buy.



Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The total cost, at $2000 for each computer and $1600 for each printer, is $60,000:

2000c%2B1600p=60000
2000c=-1600p%2B60000
c=%28-4%2F5%29p%2B30

The slope is -4/5. It means that the number of computers that can be bought decreases by 4/5 for each additional printer bought.

Note that the numbers of computers and printers bought must be whole numbers, so if the total spent must be exactly $60,000, there are only a small number of possible combinations of computers and printers that can be purchased.