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

yequals8 times 0.84 Superscript x
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Part 1
Choose the correct answer below.
Exponential growth
Exponential decay
Neither

1 answer

To determine whether the equation \( y = 8 \times 0.84^x \) represents exponential growth, exponential decay, or neither, we look at the base of the exponential component, which is \( 0.84 \).

  • If the base is greater than 1 (e.g., \( 2, 3, 10 \)), it represents exponential growth.
  • If the base is between 0 and 1 (e.g., \( 0.5, 0.84 \)), it represents exponential decay.

Since \( 0.84 < 1 \), the equation represents exponential decay.

Thus, the correct answer is:

Exponential decay.