Question

Which equation corresponds to the following word problem? An author writes 22 pages of her book each week. She has already written 58 pages and expects to have 280 pages in her first draft. How long will it take the author to finish her first draft?

a) 22w+280=58
b) 58w−22=280
c) 22w+58=280
d) 58w−280=22

Answer 1

The correct equation that represents the word problem is c) 22w+58=280. It takes into account the author's current progress, the rate at which she writes, and the final page count she aims to reach.

Step-by-step explanation:

The equation that corresponds to the word problem 'An author writes 22 pages of her book each week. She has already written 58 pages and expects to have 280 pages in her first draft. How long will it take the author to finish her first draft?' is c) 22w+58=280.

We can determine this by setting up an equation where 22 pages/week is the rate of writing (writing rate), w is the number of weeks, 58 is the starting pages count, and 280 is the total pages needed. The correct equation will represent the relationship between these elements.

Step 1: Identify the starting pages: 58 pages.

Step 2: Determine the weekly writing rate: 22 pages/week.

Step 3: Set up the equation with weeks (w) as the unknown: 22w represents the total pages written over the weeks, 58 represents the starting pages already written, and 280 is the total needed. So the equation is 22w + 58 = 280.