A writer is setting a goal to write 6 pages a day, 6 days a week, for 6 weeks. How many pages will be written by the end of the 6 weeks?

Question

Responses

4^6
6^4
3^6
6^3

Answer 1

To find out how many pages the writer will write by the end of 6 weeks, we can calculate it as follows:

The writer intends to write 6 pages per day for 6 days a week over a period of 6 weeks.

1. Calculate the number of pages per week: \[ \text{Pages per week} = \text{Pages per day} \times \text{Days per week} = 6 \text{ pages/day} \times 6 \text{ days/week} = 36 \text{ pages/week} \]

2. Calculate the total number of pages for 6 weeks: \[ \text{Total pages} = \text{Pages per week} \times \text{Weeks} = 36 \text{ pages/week} \times 6 \text{ weeks} = 216 \text{ pages} \]

Now, looking at the provided responses:

• \(4^6 = 4096\)
• \(6^4 = 1296\)
• \(3^6 = 729\)
• \(6^3 = 216\)

The total number of pages, 216, corresponds to \(6^3\).

Therefore, the correct answer is: \[ \boxed{6^3} \]