Question

martha believes her printer is out to get her. most days it behaves well, but every time she has a big report due, it mangles one out of every eight pages.

1. if the report was sixteen pages long, how many pages did the printer mangle?
2. if martha’s whole report was seventy - two pages long (wow) how many of the pages did the printer mangle?
3. here’s the truth. the printer mangled only one page of the report. how long was the whole thing?

enter a variable for the number of pages in the whole report and use this variable to write an expression for the number of pages mangled.
after completing the worksheet, graph your model.
(there is also a chart titled number of pages mangled with axes number of pages in report and number of pages mangled and a table with columns unit, pages in report, pages mangled and rows for question 1, question 2, question 3, and expression.)

Explanation:

Question 1

Step1: Determine the mangling rate

The printer mangles 1 out of every 8 pages, so the rate is $\frac{1}{8}$.

Step2: Calculate mangled pages for 16 - page report

Multiply the total pages (16) by the mangling rate: $16\times\frac{1}{8}=2$.

Step1: Recall the mangling rate

The rate is still $\frac{1}{8}$ (1 out of 8 pages mangled).

Step2: Calculate mangled pages for 72 - page report

Multiply 72 by $\frac{1}{8}$: $72\times\frac{1}{8} = 9$.

Step1: Define the variable

Let $x$ be the number of pages in the whole report.

Step2: Write the expression for mangled pages

Since 1 out of 8 pages is mangled, the number of mangled pages is $\frac{1}{8}x$.

Answer:

2

Question 2