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Q27.

Expert-verified
Found in: Page 528

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

# Determine whether the function $y=10{\left(3.5\right)}^{x}$ represents exponential growth or decay.

The given function $y=10{\left(3.5\right)}^{x}$ represents exponential growth.

See the step by step solution

## Step 1. Write down the given information.

The given function is $y=10{\left(3.5\right)}^{x}$.

## Step 2. Concept used.

The exponential function is of the form $y=a{b}^{x}$ represents exponential growth if the base $b>1$ and exponential decay if the base $0 for all $a>0$.

## Step 3. Explanation.

From the concept stated above it can be interpreted that the function $y=10{\left(3.5\right)}^{x}$ will represent exponential growth because the base (b) of the function $y=10{\left(3.5\right)}^{x}$ is such that $b>1$. Hence, the given function $y=10{\left(3.5\right)}^{x}$ represents exponential growth.

## Step 4. Conclusion.

The given function $y=10{\left(3.5\right)}^{x}$ represents exponential growth.