Using linear equations, the number of minutes that both would read for them to read equal number of pages is: 30 minutes.
What is the Equation of a Linear Graph?
Equation of a linear graph is given as, y = mx + b, where m and b are the slope and y-intercept of the graph respectively.
Equation for Emily's graph:
Slope (m) = rise/run = 1/3
y-intercept (b) = 2
Substitute m = 1/3 and b = 2 into y = mx + b
y = 1/3x + 2
Equation for Serena's graph:
Slope (m) = rise/run = 2/5
y-intercept (b) = 0
Substitute m = 2/5 and b = 0 into y = mx + b
y = 2/5x + 0
y = 2/5x
To find how many minutes for both of them to read the same number of pages, make both equations equal to each other.
2/5x = 1/3x + 2
2/5x - 1/3x = 2
1/15x = 2
Multiply both sides by 15
x = (2)(15)
x = 30
The answer is 30 minutes for both to read the same number of pages.
Learn more about linear equations on:
https://brainly.com/question/14323743
