Answer:
Please check the explanation.
Step-by-step explanation:
Given the table
Minutes 6 15 27
Pages 20 50 90
Given two points to find the slope
- (6, 20)
- (15, 50)
Finding the slope between (6, 20) and (15, 50)
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [50 - 20] / [15 - 6]
= 30 / 9
= 10/3
Thus, the slope = m = 10/3
Using the point-slope form of the linear line function
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 10/3 and the point (6, 20)
Add 20 to both sides
Therefore, the rule relating the minutes, x, to the number of pages, y.
Determining the number of pages when the minutes equal 72
We already got the equation or rule relating the minutes, x, to the number of pages, y.
substitute x = 72
Therefore, the total pages are 240 when the minutes equal 72