Questions: At a copy store, the price per copy depends on the number of copies. The price of the first one hundred copies is 0.10 per copy. For every block of 100 copies following, the price per copy decreases by 0.01 per copy up to 400 copies. After 400 copies, the price per copy no longer changes. Which graph below correctly represents this context?

At a copy store, the price per copy depends on the number of copies. The price of the first one hundred copies is 0.10 per copy. For every block of 100 copies following, the price per copy decreases by 0.01 per copy up to 400 copies. After 400 copies, the price per copy no longer changes.

Which graph below correctly represents this context?

Transcript text: At a copy store, the price per copy depends on the number of copies. The price of the first one hundred copies is $\$ 0.10$ per copy. For every block of 100 copies following, the price per copy decreases by $\$ 0.01$ per copy up to 400 copies. After 400 copies, the price per copy no longer changes. Which graph below correctly represents this context?

Solution

Solution Steps

Step 1: Analyze the pricing structure

The problem states that the price per copy changes depending on the number of copies made. The initial price is $0.10 per copy for the first 100 copies. Then, the price decreases by $0.01 for every additional 100 copies, up to 400 copies. After 400 copies, the price remains constant.

Step 2: Represent the pricing structure in intervals

We can represent this information using intervals:

0-100 copies: $0.10 per copy
101-200 copies: $0.09 per copy
201-300 copies: $0.08 per copy
301-400 copies: $0.07 per copy
401+ copies: $0.06 per copy

Step 3: Interpret the given graph

The provided graph shows the price per copy on the y-axis and the number of copies on the x-axis. The graph uses closed circles to indicate the price at the beginning of each interval and open circles to indicate the price at the end of each interval. The graph correctly represents the given pricing structure: