# Chapter 1 - Linear Functions - Chapter Review - Review Exercises - Page 40: 47

$S(q)=0.5q+10$

#### Work Step by Step

A linear function will have the form $S(q)=p=mq+b$ The graph contains points ( number of pills, supply price). Using the points (60, 40) and (100, 60), we find the slope: $m=\displaystyle \frac{60-40}{100-60}=\frac{20}{40}=0.5$. The point=slope form: $p-40=0.5(q-60)$ $p-40=0.5q-30\qquad/+40$ $p=0.5q+10$ or $S(q)=0.5q+10$

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