Question

Griffin can read 6 pages in 10 minutes. He writes a proportion to find the number of pages he can read in 30 minutes. Which equation shows the correct cross products for Griffin's proportion?

Options:
A. 6/10 = x/30
B. 6/30 = x/10
C. 10/30 = x/6
D. 10/6 = x/30

Answer 1

The correct proportion to find out how many pages Griffin can read in 30 minutes is 6/10 = x/30. By cross multiplying and solving for x, we find that Griffin can read 18 pages in 30 minutes.

Step-by-step explanation:

The student asked which equation shows the correct cross products for Griffin's proportion to find out how many pages he can read in 30 minutes, given that he can read 6 pages in 10 minutes.

The correct setup for the proportion is to have the rates compared in the same order; meaning pages per time.

So the number of pages Griffin can read in 30 minutes (represented as x) should be set up against the number of pages he can read in 10 minutes (which is 6).

The correct proportion, in this case, would be:
6 pages / 10 minutes = x pages / 30 minutes
So, the correct equation corresponding to Griffin's proportion when using cross multiplication is:
6/10 = x/30
To solve for x, you would cross multiply giving you:
10x = 6 * 30
x = (6 * 30)/10
x = 180/10
x = 18

Hence, Griffin can read 18 pages in 30 minutes.