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.