Question

URGENT!! FIRST CORRECT ANSWER GETS 15 POINTS!!!

Answer 1

if x increases by 51, f (x) increases by 9.

Step-by-step explanation:

Given function:

          $f(x)=\frac{3}{17} x+2$

The above equation would have a constant slope as it seems to be a linear function.  ‘x’, the coefficient of the variable x is the slope of the function. Here,

        $x=\frac{3}{17}$

The rate of change of the function with respect to x referred as the slope of the function. Thus,

       $slope =\frac{\text { change of } f(x)}{\text { change of } x}$

        $\frac{\Delta f}{\Delta x}=\frac{3}{17}$

Given, x increases by 51. So, we have

        $\Delta x=51$

        $\frac{\Delta f}{51}=\frac{3}{17}$

Now solve for ΔF,

       $\Delta f=\frac{3}{17} \times 51=3 \times 3=9$

Thus, we have obtained that if x increases by 51, f (x) increases by 9.