Question

PLS HELP ASAP ILL GIVE BRAINLY

Answer 1

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

$y-y_1=m\left(x-x_1\right)$

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)

$y-20=\frac{10}{3}\left(x-6\right)$

Add 20 to both sides

$y-20+20=\frac{10}{3}\left(x-6\right)+20$

$y=\frac{10}{3}x-20+20$

$y=\frac{10}{3}x$

Therefore, the rule relating the minutes, x, to the number of pages, y.

$y=\frac{10}{3}x$

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.

$y=\frac{10}{3}x$

substitute x = 72

$y=\frac{10}{3}\left(72\right)$

$y=\frac{720}{3}$

$y=240$

Therefore, the total pages are 240 when the minutes equal 72