How do I solve this?

Question

The cost of shipping computers from a warehouse is given in the table below. 

number of computers    50      75       100     125

cost                           1700   2500    3300   4100

 

a. Determine which kind of function best models the data.

b. Write an equation to model the data.

c. What is the cost of shipping 27 computers?

d. How many computers could be shipped for $5,500?

Answer 1

a. This would be a linear function because there is a repeating pattern. Computers increases by 25 each time, and cost increases by 800 each time.

 

b. If we set up a proportion as (1700/50=x/1), we see that each computer costs $34, so we could write our equation as y=34x+0.

 

c. y=34(27)+0= $918

 

d. $5,500=34(x)+0
       rounded down, x=161