Question

Anne and Willow are reading the copy of the same magazine for an assignment.

Answer 1

Answer:

Page number 74

Step-by-step explanation:

Let

x ---> the number of days

y ---> the number of pages read

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

Anne

The slope is equal to

$m=20\ \frac{pages}{day}$

The y-intercept is equal to

$b=14\ pages$

substitute

$y=20x+14$ ----> equation A

Willow

The slope is equal to

$m=22\ \frac{pages}{day}$

The y-intercept is equal to

$b=8\ pages$

substitute

$y=22x+8$ ----> equation B

equate equation A and equation B

$22x+8=20x+14$

solve for x

$22x-20x=14-8\\2x=6\\x=3\ days$

Find the value of y

substitute the value of x in equation A or equation B

equation A

$y=20(3)+14=74\ pages$

equation B

$y=22(3)+8=74\ pages$