Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.4 - Exponential Growth and Decay - Exercises - Page 320: 52

Answer

The function represents exponential decay.

Work Step by Step

The given function is $y=5(0.82)^{\frac{t}{5}}$ Use power of powers property. $y=5(0.82^{\frac{1}{5}})^t$ Evaluate the power and simplify. $y=5(0.96)^t$ $y=5(1-0.04)^{t}$ Hence, the function represents exponential decay.
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