Question

Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.

Answer 1

p=50t

Explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

`p=tk$ where k is the constant of proportionality\\When $ t=(1)/(2) $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25/ 0.5\\k=50`

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t