SAT Question 963da34c: Linear Inequalities answer and explanation with Desmos solution

Choice A is correct. If $x$ is the width, in inches, of the box, then the length of the box is $2.5x$ inches. It follows that the perimeter of the base is $2\times (2.5x+x)$, or $7x$ inches. The height of the box is given to be $60$ inches. According to the restriction, the sum of the perimeter of the base and the height of the box should not exceed $130$ inches. Algebraically, this can be represented by $7x+60\le 130$, or $7x\le 70$. Dividing both sides of the inequality by $7$ gives $x\le 10$. Since $x$ represents the width of the box, $x$ must also be a positive number. Therefore, the inequality $0<x\le 10$ shows the allowable width of the box.