Respuesta :
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:
[tex]y = ax + b[/tex]
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is [tex]b = 20[/tex].
- He reads 1.5 pages per minute, hence the slope is [tex]a = 1.5[/tex]
Then:
[tex]y_R = 1.5x + 20[/tex]
For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is [tex]b = 25[/tex].
- He reads 1 page per minute, hence the slope is [tex]a = 1[/tex]
Then:
[tex]y_K = x + 25[/tex]
They will have read the same number of pages after x minutes, for which:
[tex]y_R = y_K[/tex]
Then:
[tex]1.5x + 20 = x + 25[/tex]
[tex]0.5x = 5[/tex]
[tex]x = \frac{5}{0.5}[/tex]
[tex]x = 10[/tex]
To learn more about linear function, you can take a look at https://brainly.com/question/25823744
