Question

which is the best description of the graph of the function f(x) = 60(1/3)x? the graph has an initial value of 20, and each successive term is determined by subtracting 1/3. the graph has an initial value of 20, and each successive term is determined by multiplying by1/3 . the graph has an initial value of 60, and each successive term is determined by subtracting 1/3. the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3

Answer 1

F(x)=60[1/3]^x

initial value⇒ x=0, f(x) = 60*[1/3]^0 = 60*1 = 60
x=1 ⇒f(1) = 60*[1/3]

x=2 ⇒f(2) = 60*[1/3]^2 = f(1) * [1/3]

x = n ⇒ f(n) = 60*[1/3]^n=60*[1/3]^(n-1)*[1/3] = f(n-1)*[1/3]

Then, the right choice is: the graph has an initial value of 60, and each successive term is determined by multiplying by 1/3

Answer 2

Answer:

The Answer is D) The graph has an initial value of 60, and each successive term is determined by multiplying by 1/3.

Step-by-step explanation: