Solve each system of equations algebraically.
y = 2/3 x - 5

y = -x + 10

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

f(x) = 1500(0.97)ˣ