The number of pages Cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.

A. 1/4
B. 1/2
C. 2
D. 4

minutes per page ... 60 min / 15 pg = ?

Okay, thank you!

To find the constant of proportionality, we need to determine the relationship between the number of pages and the time in minutes. In this case, we know that the number of pages varies directly with time.

Direct variation can be expressed using the formula y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

In this scenario, the number of pages read (y) is the dependent variable, and the time in minutes (x) is the independent variable. We are given that Cameron can read 15 pages in 60 minutes.

Using the direct variation formula y = kx, we can substitute the values we know:
15 = k * 60

To solve for k, we divide both sides of the equation by 60:
k = 15/60

Simplifying the fraction gives us:
k = 1/4

Therefore, the constant of proportionality for the number of minutes to read 1 page is 1/4.

So, the correct answer is A. 1/4.