Question

Yoko needs 200 copies of her resume printed. Dakota Printing charges $12.50 for the first 300 copies and $9 for every 100 additional copies. If the number of sets of 100 resumes is represented by r, which piecewise function represents the cost of printing

Answer 1

The second choice.

Explanation:

If we call r the number of 100 copies, then the cost of printing the first 300 copies is represented by

`c(r)=12.5,r\le3`

The above says that if we print less than or equal to 3 sets of 200 pages, then the cost of printing will be $12.50.

If we print more than 3 sets of 100 pages, i.e r > 3, then the price of printing is

`c(r)=12.5+9(r-3),r>3`

Therefore, we can combine the two sets conditions into one and say

`c(r)=\begin{cases}12.5,r\le3 \\ 12.5+9(r-3),r>3\end{cases}`

which is our answer!