SAT Question 03503d49: Linear Inequalities answer and explanation with Desmos solution

Choice B is correct. It's given that a business owner plans to purchase $81$ chairs. If $p$ is the price per chair, the total price of purchasing $81$ chairs is $81p$. It's also given that $7\%$ sales tax is included, which is equivalent to $81p$ multiplied by $1.07$, or $81(1.07)p$. Since the total budget is $$14,000$, the inequality representing the situation is given by $81(1.07)p\le 14,000$. Dividing both sides of this inequality by $81(1.07)$ and rounding the result to two decimal places gives $p\le 161.53$. To not exceed the budget, the maximum possible price per chair is $$161.53$.