Question

Simplify this expression.











Which is the best description of the graph of the function f(x) = 60(One-third)x?

The graph has an initial value of 20, and each successive term is determined by subtracting One-third.
The graph has an initial value of 20, and each successive term is determined by multiplying by One-third.
The graph has an initial value of 60, and each successive term is determined by subtracting One-third.
The graph has an initial value of 60, and each successive term is determined by multiplying by One-third.

Answer 1

f(x) = 60*(1/3)^x is an exponential with initial value f(0)=60 and common ratio 1/3. So the correct choice is:

"The graph has an initial value of 60, and each successive term is determined by multiplying by One-third."

(Reason: f(0)=60, and f(x+1)=f(x)*(1/3).)