Question

meg is printing a term paper for class at the rate shown in the table below. if the term paper is 60 pages long, how many total minutes will it take to print out? assume that the printer prints the pages at a constant rate.

megs term paper printing progress
time (minutes): 3, 4, 5, 6, 7
pages printed: 7.5, 10, 12.5, 15, 17.5

a 20 minutes
b 24 minutes
c 150 minutes
d 180 minutes

Explanation:

⚡ Using what you learned: Rate of Change and Applications

Step 1: Find the printing rate

$$ \text{Rate} = \frac{\text{Pages Printed}}{\text{Time (minutes)}} = \frac{10}{4} = 2.5\text{ pages per minute} $$

Step 2: Calculate the total time for 60 pages

$$ \text{Total Time} = \frac{\text{Total Pages}}{\text{Rate}} = \frac{60}{2.5} = 24\text{ minutes} $$

Answer:

B 24 minutes