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kenny6666 [7]
3 years ago
10

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

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

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

<u>Step-by-step explanation:</u>

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.

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