Question

A school laser printer prints 72 pages in 6 minutes. Alanna's home printer prints twice as many pages in twice as many minutes. Alanna says her printer's rate in pages per minute is two times the rate of the school printer. Do you agree or disagree? Explain.

a) Agree, Alanna's printer is faster.
b) Disagree, Alanna's printer is slower.
c) Agree, Alanna's printer is the same speed.
d) Disagree, more information is needed to compare.

Answer 1

I disagree, Alanna's printer is slower.

Step-by-step explanation:

The school laser printer prints 72 pages in 6 minutes. Alanna's home printer prints twice as many pages in twice as many minutes. To determine if Alanna's printer is faster, we need to compare the rates at which the printers can print pages. The rate is calculated by dividing the number of pages by the number of minutes. For the school printer, the rate is 72 pages / 6 minutes = 12 pages/minute. For Alanna's printer, the rate is (2 * 72 pages) / (2 * 6 minutes) = 12 pages/minute. Since both printers have the same rate of 12 pages/minute, we can conclude that Alanna's printer is not faster than the school printer. Therefore, I disagree with Alanna's claim that her printer's rate in pages per minute is two times the rate of the school printer.