Question

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

Function A:
x y
7 21
8 24
9 27

Function B:
(Graph Attachment below)

Which statement best compares the rate of change of the two functions?
A. The rate of change for both functions are 2
B. The rate of change for both functions are 3
C. The rate of change of function A is greater than the rate of change of function B
D. The rate of change of function B is greater than the rate of change of function A

Answer 1

Answer is C.

Explanation:

Rate of change of function A is (24- 21)/ 1 = (17-24)/1 = 3.

Rate of change of function B = slope of the line = rise/run = 4/2

= 2

Answer 2

C. The rate of change of function A is greater than the rate of change of function B

Explanation:

Given are two functions A and B.

A is given in table form and B in graph.

From the table for A we find that y =3x i.e. rate of change of y with respect to x =3

Table B graph shows the points as (2,4) (3,6) and (4,8) thus we find y =2x

Rate of change =2

C. The rate of change of function A is greater than the rate of change of function B

is correct.