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: 50

Answer

Exponential growth.

Work Step by Step

The given function is $y=(1.4)^{t+8}$ Use product of powers property. $y=(1.4)^{t} \cdot (1.4)^8$ Evaluate the power and simplify. $y=(1.4)^{t} \cdot 14.76$ $y=14.76(1.4)^{t} $ $y=14.76(1+0.4)^{t} $ Hence, the function represents exponential growth.
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