The function F is defin ed by F (x) = 3/17x+2. if x increases by 51, by how much does f (x) increase

9

Explanation:

The given function, F (x) = 3/17x + 2, is a linear function. So it has a constant slope.

The coefficient of the variable x is the slope of the function: 3/17.

The slope of the function is the rate of change of the function with respect to x.

Thus:

slope = change of F (x) / change of x = ΔF / Δx = 3/17

Then, if x increases by 51 you have:

Δx = 51 ΔF / Δx = ΔF / 51 = 3 / 17

Now solve for ΔF = (3 / 17) * 51 = 9

Thus, you have obtained that if x increases by 51, F (x) increases by 9.