Question

What is the value of r?

Answer 1

r = 11

Explanation:

Hi there!

This scenario represents a linear relation, given the equation
`m=rp+k`.

Linear equations are typically written in the form
`y=mx+b`, where m is the slope and b is the y-intercept. As you can see,
`y=mx+b` and the given equation
`m=rp+k` share the same form.

This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.

The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.

To solve for r, we must solve for the slope using the slope equation:

`r=\displaystyle (y_2-y_1)/(x_2-x_1)` where two points are
`(x_1,y_1)` and
`(x_2,y_2)`.

We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):

`r=\displaystyle (341-308)/(12-9)\\\\r=\displaystyle (33)/(3)\\\\r=11`

Therefore, the value of r is 11.

I hope this helps!