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Q27.

Expert-verified

Algebra 2

Found in: Page 528

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

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

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 $0 < b < 1$ for all $a > 0$ .

Step 3. Explanation.

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

Step 4. Conclusion.

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

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