Adoctor 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 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) = abx, where f(x) represents the bone density after x years? a = b =

a = 1500 and b = 0.97

Step-by-step explanation:

A patient is losing bone density at a rate of 3% annually.

Present bone density of the bones is 1500 kg/mg³

Doctor writes an exponential function to represent the situation.

The exponential function will be f(x) = which is an explicit formula for exponential sequence.

Here a = initial bone density of the patient

b = common ratio of the sequence formed in x years

x = time in years

Then the values of a and b in the formula will be

a = 1500

b = (1 - 0.03) = 0.97

and the function will be

Therefore, a = 1500 and b = 0.97 will be the answer.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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step-by-step explanation:

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