SAT Question 56e373b3: Linear Equations In One Variable answer and explanation with Desmos solution

Choice B is correct. It's given that the shop's inventory starts with $4,500$ paper cups and that the manager estimates that $70$ of these paper cups are used each day. Let $x$ represent the number of days in which the estimated supply of paper cups will reach $1,700$. The equation $4,500-70x=1,700$ represents this situation. Subtracting $4,500$ from both sides of this equation yields $-70x=-2,800$. Dividing both sides of this equation by $-70$ yields $x=40$. Therefore, based on this estimate, the supply of paper cups will reach $1,700$ in $40$ days.