Brandon received a book for his birthday and read 36 pages in 3 hours. Later, he read 52 pages in 4 hours. Does his reading follow a direction variation? Explain
To determine if Brandon's reading follows a direct variation, we need to check if there is a constant ratio between the number of pages he reads and the amount of time he spends reading.
Let's calculate the ratio for both instances:
For the first instance, reading 36 pages in 3 hours:
Ratio = 36 pages / 3 hours = 12 pages per hour
For the second instance, reading 52 pages in 4 hours:
Ratio = 52 pages / 4 hours = 13 pages per hour
Since the ratios are not equal (12 pages per hour and 13 pages per hour), Brandon's reading does not follow a direct variation. In direct variation, the ratios would be the same for different instances.
In this case, the number of pages Brandon reads does not have a constant relationship with the amount of time he spends reading.