Answer:
The multiplicative rate of change is 2.4
Step-by-step explanation:
we know that
The equation of a exponential growth function can be expresses as
[tex]y=a(1+r)^x[/tex]
where
a is the initial value
r is the rate of change
(1+r) is the multiplicative rate of change
In this problem we have
[tex]f(x)=(2.4)^x[/tex]
so
we have
[tex]a=1\\(1+r)=2.4[/tex]
therefore
The multiplicative rate of change is 2.4
Find the value of r
[tex](1+r)=2.4\\r=2.4-1=1.4[/tex]
Convert to percentage
[tex]1.4*100=140\%[/tex]
therefore
The rate of change is 1.4 or 140%
