Question

2
sarah enjoys reading books as a hobby. complete the table below to find how many pages sarah reads in a certain number of hours.
time (in hours) number of pages read
3 120
6 240
9 360
12 480
15 ?
a. 600
b. 520
c. 780
d. 578
reset
submit

Explanation:

Step 1: Find the reading rate

To find the number of pages Sarah reads per hour, we can use the given data. For example, when time is 3 hours, pages read are 120. So the rate \( r \) is \( \frac{\text{Number of Pages}}{\text{Time}} \). Using the first row: \( r=\frac{120}{3} = 40 \) pages per hour. We can check with other rows: \( \frac{240}{6}=40 \), \( \frac{360}{9} = 40 \), \( \frac{480}{12}=40 \). So the rate is consistent at 40 pages per hour.

Step 2: Calculate pages for 15 hours

Now, to find the number of pages read in 15 hours, we use the formula \( \text{Number of Pages}=\text{Rate} \times \text{Time} \). Substituting the rate (40 pages per hour) and time (15 hours), we get \( 40\times15 = 600 \).

Answer:

A. 600