Brandon received a book for his birthday and read thirty-six pages in 2 hours. Later, he read fifty-four pages in 3 hours. Does his reading follow a direction variation? Explain
36/2 = ?
54/3 = ?
Compare the two.
18 is the answer
To determine if Brandon's reading follows a direct variation, we need to check if the ratio of the number of pages he reads to the time it takes remains constant.
Let's calculate the ratio for both instances:
For the first instance, Brandon read 36 pages in 2 hours. So the ratio is 36/2 = 18 pages per hour.
For the second instance, Brandon read 54 pages in 3 hours. The ratio is 54/3 = 18 pages per hour.
As you can see, the ratio remains constant at 18 pages per hour. Therefore, Brandon's reading follows a direct variation. This means that the number of pages he reads is directly proportional to the time it takes to read them.