Laureen recorded her summer reading in the table below.

Question

Summer Reading
Number of Hours, x
Number of Pages, y
4 180
6 270
8 360

What is the constant of proportionality that relates number of pages read, y, to the number of hours she read, x?
Responses

Answer 1

To find the constant of proportionality, we can calculate the ratio of number of pages read to the number of hours read for each data point:

For the first data point: 180 pages / 4 hours = 45 pages per hour
For the second data point: 270 pages / 6 hours = 45 pages per hour
For the third data point: 360 pages / 8 hours = 45 pages per hour

Since the ratio is the same for all data points, the constant of proportionality is 45 pages per hour.