Question

Jose and Gavin are reading the same book. At the beginning of the month, Jose was

Answer 1

Using linear functions, it is found that:

• Jose's equation is: $J = 17x + 10$.

• Gavin's equation is: $G = 14x + 37$.

• They will be on the same page on the 9th day.

Linear function:

A linear function is modeled by:

$y = mx + b$

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 $b = 10$.

• He reads 17 pages per day, hence $m = 17$.

• Hence, Jose's equation is: $J = 17x + 10$.

Gavin:

• Initially, he was on page 37, hence $b = 37$.

• He reads 14 pages per day, hence $m = 14$.

• Hence, Gavin's equation is: $G = 14x + 37$.

The day they will both be on the same page is x for which:

$J = G$

Hence:

$17x + 10 = 14x + 37$

$3x = 27$

$x = \frac{27}{3}$

$x = 9$

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