which is the initial value that shrinks an exponential growth function by 50%?\n\\(\\frac{1}{5}\\)\n\\(\\frac…
which is the initial value that shrinks an exponential growth function by 50%?\n\\(\\frac{1}{5}\\)\n\\(\\frac{1}{4}\\)\n\\(\\frac{1}{3}\\)\n\\(\\frac{1}{2}\\)
Answer
Explanation:
Step1: Understand shrink by 50%
Shrinking by 50% means the value becomes 50% of the original, or $\frac{1}{2}$ of the original.
Step2: Analyze options
We need a fraction that represents 50% (or $\frac{1}{2}$) reduction. $\frac{1}{2}$ is the factor for a 50% shrink (since $1 - 0.5 = 0.5=\frac{1}{2}$). Among the options, $\frac{1}{2}$ is the one that corresponds to shrinking by 50%.