A certain store charges for photocopies by the number of pages. The charge is 14 cents per page for the first 5 pages 8 cents per page for each additional page after the first 5 but before the 11th page and 6 cents per page for each additional page after the first 10 pages. How many cents less is the average charge per page for photocopies of 25 pages than for photocopies of 6 pages?

Rationale

For 25 pages, the average charge per page is 5 cents less than for 6 pages.

To determine the average charges for photocopies of 25 pages and 6 pages, we first calculate the total costs for each scenario. Then, we find the average cost per page and compare them to find the difference.

A (7) YOUR ANSWER

This choice suggests that the average charge per page for 25 pages is 7 cents less than that for 6 pages. However, calculating the total costs shows that the difference in average cost per page is actually less than 7 cents, indicating this option is incorrect.

B (6) YOUR ANSWER

Selecting 6 implies that the average cost per page for 25 pages is 6 cents less than for 6 pages. However, the calculated averages reveal that the difference is not quite this substantial, making this option incorrect as well.

C (5) CORRECT

This choice accurately reflects the calculated difference in average charges. The average cost per page for 25 pages is indeed 5 cents less than for 6 pages when considering the different pricing tiers based on page counts.

D (4) YOUR ANSWER

Choosing 4 suggests the average charge per page for 25 pages is 4 cents less than for 6 pages. However, the actual calculations indicate that this difference is greater than 4 cents, which makes this option incorrect.

E (3) YOUR ANSWER

This choice indicates that the average charge per page for 25 pages is only 3 cents less than for 6 pages. The detailed calculations show that this is also incorrect, as the actual difference is larger than 3 cents.

Conclusion

In summary, the average charge per page for photocopies of 25 pages is definitively 5 cents less than that for 6 pages. This result is derived from the tiered pricing structure, which impacts the overall average costs significantly based on the number of pages copied. Understanding these calculations is essential for evaluating photocopy expenses effectively.

For 25 pages, the average charge per page is 5 cents less than for 6 pages.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test