## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 12: 84

#### Answer

a. Average ticket price: ${{\$}} 3.47$, which is an understimate of the value in the graph by${{\$}} 0.08.$ b. Average ticket price: ${{\$}} 6.47$, which is an overestimate of the value in the graph by${{\$}} 0.06.$

#### Work Step by Step

$a.$ In $1985$, ($5$ years after 1980), $n=5.$ Substituting into the formula, $T=0.15(5)+2.72$ $=0.75+2.72$ $=3.47$ The graph reads a value of $3.55$, so the model underestimates the graph by $0.08$ $(3.55-3.47=0.08)$ $b.$ In $2005$, ($25$ years after 1980), $n=30.$ Substituting into the formula, $T=0.15(25)+2.72$ $=3.75+2.72$ $=6.47$ The graph reads a value of $6.41$, so the model overestimates the graph by $0.06$ $(6.47-6.41=0.06)$

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