Subjects algebra

Exponential Decay E38602

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. The problem asks whether the function $f(x) = 6.7 \times 0.85^x$ represents exponential growth or decay. 2. The general form of an exponential function is $f(x) = a \times b^x$, where $a$ is the initial value and $b$ is the base. 3. If $b > 1$, the function represents exponential growth. 4. If $0 < b < 1$, the function represents exponential decay. 5. In this case, $b = 0.85$, which is less than 1 but greater than 0. 6. Therefore, the function $f(x) = 6.7 \times 0.85^x$ represents exponential decay. Final answer: This is exponential decay.