Answer:
The multiplicative rate of change is 0.5.
Step-by-step explanation:
The given function is
[tex]f(x)=10(0.5)^x[/tex] .... (1)
It is given that the curve is passing through (0,10), (1,5) and (2,2.5).
The exponential function is defined as
[tex]f(x)=ab^x[/tex] .... (2)
Where, a is initial value and b is growth factor of multiplicative rate of change.
On comparing (1) and (2), we get
[tex]a=10[/tex]
[tex]b=0.5[/tex]
Therefore the multiplicative rate of change is 0.5.
