#### Answer

1

#### Work Step by Step

y = $\sqrt(3x-2) $
To find the rate of change, you have to use the rate of change formula:
$\frac{f(b)âˆ’f(a)}{bâˆ’a}$
In this problem, the starting point is 1 and the end point is 2. Therefore, a = 1 and b = 2.
Since you know the a and b values, you can plug them into the formula:
$\frac{(\sqrt 3(2)-2)-(\sqrt 3(1)-2)}{2-1}$
= $\frac{\sqrt 4-\sqrt 1}{y}$
= $\frac{2-1}{1}$
= $\frac{1}{1}$
= 1
Therefore, the average rate of change is equal to 1.