Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
