A shrink by a factor of one-third [image 1] for the exponential growth function f(x)= a(7)x occurs when a =[___].

A shrink by a factor of one-third multiplies the function’s output by 1/3. In f(x) = a(7)^x, the coefficient a gives that multiplier, so a = 1/3. The correct choice is 1/3.

AI-written and checked against the verified answer.