Question

50 POINTS!! PLEASE ASAP. The director of a local ballet company needs to print the programs for the next performance. Janet’s Print Shop charges $0.25 per program plus a $35 set-up fee. The Printing Press charges $0.15 per program plus a $50 set-up fee.

​Find the number of programs for which the total costs are the same. Explain how you determined the number of programs.

Answer 1

The Answer For Part A:

The Company that offers the better deal is The Printing Press since if we do 0.15 * 200 + 50 = $80 versus Janet’s Print Shop that charges $85 in total as we can see by the problem 0.25 * 200 + 35 = $85

Explanation:

Answer 2

For this case we find the expression that represents the cost of each printing press.

x: Be the variable that represents the number of programs to print

So:

Cost 1: Janet’s Print Shop

`C (x) = 0.25x + 35`

Cost 2: The Printing Press

`C (x) = 0.15x + 50`

If we want to find the number of programs for which the costs are the same, then we equate both equations:

`0.25x + 35 = 0.15x + 50\\0.25x-0.15x = 50-35\\0.1x = 15\\x = \frac {15} {0.1}\\x = 150`

Thus, for 150 programs the cost is the same.

Answer:

For 150 programs the cost is the same.