Question

yutto is writing a paper, and he notices he can write 1.25 pages every 2 hours. he estimates he can finish the six-page paper in 6 hours. is his estimate reasonable, why or why not?
○ no, he incorrectly rounded 1.25 to 2.
○ yes, he correctly rounded 1.25 to 2.
○ no, he incorrectly rounded 6 to 6.5.
○ yes, he found the exact time.

Explanation:

Step1: Calculate writing rate per hour

First, find the number of pages Yutto writes per hour. He writes 1.25 pages in 2 hours, so divide the pages by hours:
$\text{Rate} = \frac{1.25}{2} = 0.625$ pages/hour

Step2: Calculate exact time for 6 pages

Multiply total pages by the reciprocal of the rate to find time:
$\text{Time} = \frac{6}{0.625} = 9.6$ hours

Step3: Analyze his estimate

His estimate of 6 hours comes from incorrectly rounding 1.25 pages/2 hours to 2 pages/2 hours (1 page/hour), which would give 6 hours for 6 pages. This rounding is wrong.

Answer:

No, he incorrectly rounded 1.25 to 2.