Question

Two functions, function A and function B, are shown below:

Function A


x y
7 14
8 16
9 18
Which statement best compares the rate of change of the two functions?
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.

Answer 1

the correct answer is:
The rate of change of function B is greater than the rate of change of function A.

Hope this helps

Answer 2

The true statement is (d) The rate of change of function B is greater than the rate of change of function A.

The rate of change of a linear function is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For function A, we have the following points

(x,y) = (7,4) and (8,16).

So, the rate of change is:

$m = \frac{16-14}{8-7}$

$m = \frac{2}{1}$

Divide

$m = 2$

For function A, we have the following points

(x,y) = (1,3) and (2,6).

So, the rate of change is:

$m = \frac{6-3}{2-1}$

$m = \frac{3}{1}$

Divide

$m = 3$

Hence, the rate of change of function A is 2, while the rate of change of function B is 3

Read more about rates of change at:

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