Using linear functions, it is found that:
- Jose's equation is:
.
- Gavin's equation is:
.
- They will be on the same page on the 9th day.
A <em>linear function</em> is modeled by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Jose:
- Initially, he was on page 10, hence
.
- He reads 17 pages per day, hence
.
- Hence, Jose's equation is:
Gavin:
- Initially, he was on page 37, hence
.
- He reads 14 pages per day, hence
.
- Hence, Gavin's equation is:
The day they will both be on the same page is x for which:
Hence:
They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at brainly.com/question/16302622