Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises: 47

Answer

a) $c = 3.85*g$, This is a direct variation as c varies as g changes values. b) $c = .1203125 * m$ c) $28.88

Work Step by Step

a) c = 3.85*g As the number of gallons $g$ increases, so would the cost $c$ incurred. b) A gallon of gas is 3.85, and the car gets 32 miles per gallon. We will substitute $g$ for $m/32$ since we want the cost per mile. $c = 3.85 * g$ $c = 3.85* (m/32)$ $c = 3.85/32 * m $ $c = .1203125 * m$ c) $c = .1203125 * m$ $c = .1203125 * 240$ $c = 28.875$
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