Question

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writers an exponential function to represent the situation. Which values should the doctor use of a and b in a function written in the form f(x)= abx, where f(x) represents the bone density after x years?

Answer 1

If a patient is losing bone density at the rate of 3 % annually then it will rest:
100% - 3% = 97 %, or 0.97 of a bone density.
The doctor should use a function:$f(x)= 1,500 * 0.97^{x}$
a = 1,500,  b = 0.97