Question

1. raphael is reading a 740 - page book. he has read 550 pages so far. what percent of the book has he completed? round to the nearest percent.

70%
80%
75%
74%

Explanation:

Step1: Calculate the ratio of pages read

To find the percentage of the book completed, we first find the ratio of pages read to the total number of pages. The formula for the percentage \( P \) is \( P=\frac{\text{Pages Read}}{\text{Total Pages}}\times100\% \). Here, pages read is 550 and total pages is 740. So we calculate \( \frac{550}{740} \).
\( \frac{550}{740}\approx0.7432 \)

Step2: Convert to percentage and round

Multiply the ratio by 100% to get the percentage: \( 0.7432\times100\% = 74.32\% \). Rounding to the nearest percent, we look at the decimal part. The decimal is 0.32, which is less than 0.5, but wait, actually 74.32 is closer to 74%? Wait, no, wait, let's recalculate \( \frac{550}{740} \):

\( 550\div740\approx0.7432 \), so \( 0.7432\times100 = 74.32\% \), which rounds to 74% (since the tenths place of the decimal part is 3, which is less than 5? Wait, no, when rounding to the nearest percent, we look at the first decimal place after the whole number. 74.32, the digit after the decimal is 3, so we round down? Wait, no, 74.32 is approximately 74%? Wait, but let's check the options. The options are 70%, 80%, 75%, 74%. Wait, maybe I made a mistake. Wait, 550 divided by 740:

\( 550\div740 = \frac{55}{74}\approx0.7432 \), so 74.32%, which is approximately 74%, so the answer is 74%.

Answer:

74% (corresponding to the option: 74%)