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 4 - Writing Linear Functions - Cumulative Assessment - Page 230: 1

Answer

(C) $f(n)=27-3n$

Work Step by Step

From the graph, we have First term of the sequence $a_{1}=24$ and Common difference $d=21-24=-3$. $n$th term is given by the function $f(n)=a_{1}+(n-1)d$ $\implies f(n)=24+(n-1)(-3)$ $\implies f(n)=24-3n+3$ $\implies f(n)=27-3n$. The correct one is option C.
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