Question

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

Answer 1

9

Step-by-step explanation:

1: If x increases by 51, the function will be:

f(x)= 3/17(x+51) +2

f(x)= 3/17x + 9 + 2

=f(x)= 3/17x + 11

Now, take the difference between the increased function and the original function.

(3/17x + 11)-(3/17x+2)

3/17x + 11 - 3/17x - 2

11-2

=9

Answer 2

• 9

Step-by-step 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.