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 319: 11

Answer

Initial amount $a=6.72$ Rate of growth $r=100\%$ $g(5)=215.0$

Work Step by Step

The given expression is $\Rightarrow g(t)=6.72(2)^t$ $\Rightarrow g(t)=6.72(1+1)^t$ The standard form of an exponential growth function is $y=a(1+r)^t$ Initial amount $a=6.72$ Rate of growth $r=1=100\%$ Substitute $5$ for $t$. $\Rightarrow g(5)=6.72(2)^5$ Evaluate the power. $\Rightarrow g(5)=6.72(32)$ Simplify. $\Rightarrow g(5)=215.04$ Round to the nearest tenth. $\Rightarrow g(5)=215.0$
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