SAT Question f01ef454: Linear Inequalities answer and explanation with Desmos solution

Choice C is correct. It's given that the estimated volume of the slab of granite is greater than $12.7$ cubic feet but less than $15.7$ cubic feet. It's also given that the estimated weight per cubic foot of volume of that slab is $165$ pounds. The estimated total weight of the slab of granite, in pounds, can be calculated by multiplying the estimated volume by the estimated weight per cubic foot. Therefore, if the estimated volume of the slab of granite is $12.7$ cubic feet, its estimated total weight is $165(12.7)$ pounds, and if the estimated volume of the slab of granite is $15.7$ cubic feet, its estimated total weight is $165(15.7)$ pounds. Since the estimated volume of the slab of granite is greater than $12.7$ cubic feet but less than $15.7$ cubic feet, the estimated total weight $x$, in pounds, must be greater than $165(12.7)$ pounds and less than $165(15.7)$ pounds. This situation can be represented by the inequality $165(12.7)<x<165(15.7)$.