Question

ates that a particular patient is losing bone density at a rate of 3% annually. the patient currently has a of 1,500 \text{ kg/mg}^3. the doctor writes an exponential function to represent the situation. which values ctor use for a and b in a function written in the form f(x) = ab^x, where f(x) represents the bone density

Explanation:

Identify the initial value

Using the y-intercept and Exponential Functions knowledge points

$$ a = 1500 $$

Determine the decay factor

Using the Exponential Decay knowledge point

$$ b = 1 - 0.03 = 0.97 $$

Answer:

The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form \(f(x) = ab^x\), where \(f(x)\) represents the bone density?

\(a =\) <blank>\(1500\)</blank>
\(b =\) <blank>\(0.97\)</blank>