Question

The table represents an exponential function.

What is the multiplicative rate of change of the
function?
x
1
0 1 / 3
2
3
0 2 3
y
6
4
8
3
16
9
O 2
09
4.

Answer 1

Answer: It's B) 2/3

Hope it helps :3

Answer 2

Question Correction

The table represents an exponential function. What is the multiplicative rate of change of the function?

(A)1/3 (B)2/3 (C)2 (D)9

`\left|\begin{array}cx&y\\--&--\\1&9\\2&6\\3&4\\4&\frac83\\\\5&(16)/(9)\end{array}\right|`

Answer:

(B)
`(2)/(3)`

Explanation:

An exponential function is a function of the form

`y= a (b)^(x)`

where a is the initial value and b is the multiplicative rate of change

When x=2, y=6, we have:

`6= a (b)^(2)`

When x=3, y=4, we have:

`4= a (b)^(3)`

Dividing the two equations:

`(a (b)^(3))/(a (b)^(2)) =(6)/(9) \\b=(6)/(9)\\b=(2)/(3)`

The multiplicative rate of change, b is
`(2)/(3)`.

The correct option is B.