Question

Use the table to answer the question.

Sequences of Two Functions
Term Number 1 2 …
11 12 …
16 17
Sequence for

h(x)=1.2x


1.2 2.4 …
13.2 14.4 …
19.2 20.4
Sequence for

j(x)=1.2x
1.2 1.4 …
7.4 8.9 …
18.5 22.2
Which statement correctly compares the two functions?(1 point)
Responses

The growth rate of h(x)
is always less than the growth rate of j(x)
.
The growth rate of h of x is always less than the growth rate of j of x .

The values of j(x)
are always less than the values of h(x)
.
The values of j of x are always less than the values of h of x .

The average growth rate of j(x)
exceeds the growth rate of h(x)
between terms 11 and 12.
The average growth rate of j of x exceeds the growth rate of h of x between terms 11 and 12.

By term 12, j(x)
is greater than h(x)
.

Answer 1

The average growth rate of j(x) between terms 11 and 12 is 8.9 − 7.4 = 1.5, which exceeds h(x)'s constant growth rate of 1.2 (since h(x)=1.2x). So the third statement is correct.