Answer:
The function f(x) is represented by:
[tex]f(x)=1500(0.97)^x[/tex]
Hence, a=1500 and b=0.97
Step-by-step explanation:
The patient currently has a bone density of 1,500 kg/mg^3.
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually.
This means that the bone density that is remaining is:
100-3=97%
which is also represented as: 97%=97/100=0.97
Hence, the function f(x) that represents the bone density after x years is represented by:
[tex]f(x)=a(0.97)^x[/tex]
where a is the initial bone density which is given to be: 1500 kg/mg^3.
Hence, the function is:
[tex]f(x)=1500(0.97)^x[/tex]
