Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole

Chapter 1 - Ingredients of Change: Functions and Limits - 1.1 Activities: 35

Answer

A) "In June, the local stock car racing team used $1,290$ gallons of motor oil." B) $g(7)=15.2$

Work Step by Step

A) Since the value of $t$ in $g(t)$ indicates how many months past March the motor oil is used, the value $3$ in $g(3)$ indicates $3$ months past March, or June. Since $g(t)$ is in one hundred gallons, the value $12.90$ corresponds to $1,290$ gallons. Piece this together and you get the statement "In June, the local stock car racing team used $1,290$ gallons of motor oil." B) Since October is 7 months after March, the function will be represented by $g(7)$. Also, since the value for motor oil is in one hundred gallons, the value $1,520$ corresponds to $15.2$. Piece this together and you get $g(7)=15.2$.

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