State whether the equation represents exponential​ growth, exponential​ decay, or neither.

Question

yequals2 times 0.91 Superscript x
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Part 1
Choose the correct answer below.
Exponential decay
Exponential growth
Neither

Answer 1

The equation $y=2\times {0.91}^x$ represents exponential decay.

In an exponential function of the form $y=a\times b^x$:

• If $b>1$, the function represents exponential growth.
• If $0<b<1$, the function represents exponential decay.

Since $0.91<1$, this indicates exponential decay.