Question

What is the multiplicative rate of change of the function?

a.0.2
b.0.25
c.0.5
d.0.75

Answer 1

Answer: 0.5 is the multiplicative rate of change of the given function.

Explanation:

Let the given function is,

`y= ab^x`

where a is the multiplicative rate of change.

Since by the table,

If x=1, y=0.25

That is,
`0.25 = ab^1`

⇒ab= 0.25 ------ (1)

Again By the table if x= 2 y= 0.125

`0.125 = ab^2`

⇒(ab)b=0.125⇒b=0.125/ab=0.125/0.25=0.5

b=0.5

Thus, after putting this value in equation 1) we get, a=0.5

Thus, the multiplicative rate of change for this function is 0.5.

Answer 2

the answer is 0.5 ...