Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-1 Zero and Negative Exponents - Practice and Problem-Solving Exercises: 60

Answer

The equation would be B(t)=500×$2^{t}$ a) The budget in 1 yr will be 1000 The budget in 2 yrs will be 2000 The budget in y years will be 500×$2^{y}$ b) The budget 2 years ago was $125

Work Step by Step

The equation would be B(t)=500×$2^{t}$ a) The budget in 1 yr B(1)=500×$2^{1}$ = 500×2 = 1000 The budget in 2 yrs B(1)=500×$2^{2}$ = 500×4 = 2000 The budget in y years will be 500×$2^{t}$ b) The budget 2 years ago (t=-2) B(-2)=500×$(2)^{-2}$ = $\frac{500}{2^{2}}$ = $\frac{500}{4} = $125
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