Question

2. Create a linear function that has a rate of change of 3 and a solution at (6, 12).

Answer 1

Answer:

$y = 3x - 6$

Step-by-step explanation:

A linear function has the following format:

$y = ax + b$

In which a is the slope(rate of change) and b is the y-intercept, that is, the value of y when x = 0.

Rate of change of 3

This means that $a = 3$

So

$y = 3x + b$

A solution at (6, 12).

This means that when x = 6, y = 12. So

$y = 3x + b$

$12 = 3*6 + b$

$b = -6$

The linear function is:

$y = 3x - 6$