Question

This is the question:

The table shows James’s reading rate.
A) Find the equation of this problem
B) And find out how many pages can he read in 72 mins.
Answer both questions.

Answer 1

A)

`y = (10)/(3)x`

B) 240 pages

Explanation:

From the table, he can read 20 pages in 6 minutes and 15 paged in 50 minutes.

The unit rate can be found using

`m = (change \: in \: y)/(change \: in \: x)`

`m = (50 - 20)/(15 - 6)`

`m = (30)/(9) = (10)/(3)`

Using the point (6,20) and the unit rate we can find the equation using

`y-y_1=m(x-x_1)`

`y - 20 = (10)/(3)(x - 6)`

`y=(10)/(3)x - 20 + 20`

`y = (10)/(3)x`

B) When x=72 minutes we substitute

`y = (10)/(3) * 72`

`y = 10 * 24 = 240`