Brandon received a book for his birthday and read seventy-six pages in 4 hours. Later, he read eighty-five pages in 5 hours. Does his reading follow a direction variation? Explain

do you mean a direct variation?

76/4 = 19 pp/hr
85/5 = 17 pp/hr

so, not a direct variation. If he'd read 95 pages in 5 hours, then it would have been direct.

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 read and the amount of time he spent reading.

Let's calculate the rate of reading for both instances:

For the first instance:
Rate = Number of pages / Time
Rate = 76 pages / 4 hours
Rate = 19 pages/hour

For the second instance:
Rate = Number of pages / Time
Rate = 85 pages / 5 hours
Rate = 17 pages/hour

Since the rates are not the same, the reading does not follow a direct variation. In a direct variation, the rate (or ratio) should be constant for every reading instance.

If the readings did follow a direct variation, the rate would have remained constant, and we would have found the same rate in both instances.

In this case, Brandon's reading speed varies, as the number of pages read per hour is different for each instance.