# Chapter 5 - Linear Functions - 5-2 Direct Variation - Practice and Problem-Solving Exercises - Page 304: 47

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 * gc = 3.85* (m/32)c = 3.85/32 * m c = .1203125 * m$c)$c = .1203125 * mc = .1203125 * 240c = 28.875\$

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