Calculate the average rate of change for the given function, from x = 1 to x = 4.

x f(x)
−1 | 0
1 | 4
4 | 10

a) -1/2
b) 1/2
c) -2
d) 2

The correct answer option is D) 2.

Step-by-step explanation:

We are given the value of x and f(x) in a table and we are to find the average rate of change for the given function from x = 1 to x = 4.

To find that, we will calculate the ration of change in y to change in x.

Average rate of change = = 2

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: