Find the average rate of change of function f graphed below over the interval 4 ≤ x ≤ 8. Compare it to the average rate of change of g(x) = 4 ln(x) – 2 over the same interval. Use the drop-down menus to complete the statements.

In the xy axis, the range of both axes is zero to nine by increment of one. On both axes two, four, six, and eight are labeled. On the graph, there is curve passing through the points (4, 3) and (8, 6). These points are labeled.

The average rate of change of f(x) is
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.

The average rate of change of g(x) is about
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.

Over the interval 4 ≤ x ≤ 8, the average rate of change of f(x) is
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the average rate of change of g(x).

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what i would say the best answer is a. 40.5

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

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step-by-step explanation: