Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises - Page 104: 42

(a) $\$ 26$ (b) $\$ 3125$ (c) See explanations.

(a) Given $y=50-0.016x$, for $x=1500$, we have $y=50-0.016(1500)=\$ 26$ (b) Let $y=0$, we have $0=50-0.016x$ which gives $x=\$ 3125$ (c) If club purchases for the year exceed $3125, the actual annual membership cost will be negative meaning there will be some profits.