which is the best description of the graph of the function (f(x)=60(\frac{1}{3})^x)?\nthe graph has an…

which is the best description of the graph of the function (f(x)=60(\frac{1}{3})^x)?\nthe graph has an initial value of 20, and each successive term is determined by subtracting (\frac{1}{3}).\nthe graph has an initial value of 20, and each successive term is determined by multiplying by (\frac{1}{3}).\nthe graph has an initial value of 60, and each successive term is determined by subtracting (\frac{1}{3}).\nthe graph has an initial value of 60, and each successive term is determined by multiplying by (\frac{1}{3}).

which is the best description of the graph of the function (f(x)=60(\frac{1}{3})^x)?\nthe graph has an initial value of 20, and each successive term is determined by subtracting (\frac{1}{3}).\nthe graph has an initial value of 20, and each successive term is determined by multiplying by (\frac{1}{3}).\nthe graph has an initial value of 60, and each successive term is determined by subtracting (\frac{1}{3}).\nthe graph has an initial value of 60, and each successive term is determined by multiplying by (\frac{1}{3}).

Answer

Answer:

The graph has an initial value of 60, and each successive term is determined by multiplying by $\frac{1}{3}$.

Explanation:

Step1: Find the initial value

When $x = 0$, $f(0)=60\times(\frac{1}{3})^0=60\times1 = 60$.

Step2: Analyze the general form

For an exponential - function $y = a\times b^x$, when $x$ increases by 1, $y_{new}=a\times b^{x + 1}=b\times(a\times b^x)$. Here $a = 60$ and $b=\frac{1}{3}$, so each successive term is found by multiplying the previous term by $\frac{1}{3}$.