Question

Use the table to answer the question.

Sequences of Two Functions

1

Term Number

Sequence for

h(x)=1.2x

Sequence for
j(x)=1.2z

Which statement correctly compares the two functions? (1 point)

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

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

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

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

2

11

12

16

1.2

2.4

13.2

14.4

19.2

17

20.4

1.2

1.4

7.4

8.9

18.5

22.2

Answer 1

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

Reason: h increases by 1.2 each term (h(12)-h(11)=14.4-13.2=1.2). j increases from 7.4 to 8.9, an increase of 1.5, which is greater than 1.2.