an engineering student plans to work a maximum of 7 hours tomorrow. the student will be making 3d cad part…

an engineering student plans to work a maximum of 7 hours tomorrow. the student will be making 3d cad part files and assembly files. it takes 30 minutes to make a part file and 2 hours to make an assembly file.\nx = number of part files\ny = number of assembly files\nwhich of the following inequalities, in standard form, describes the scenario above?\n.5x + 2y ≤ 7\n2x +.5y ≤ 7\n30x + 2y ≤ 7\n2x + 30y ≤ 7

an engineering student plans to work a maximum of 7 hours tomorrow. the student will be making 3d cad part files and assembly files. it takes 30 minutes to make a part file and 2 hours to make an assembly file.\nx = number of part files\ny = number of assembly files\nwhich of the following inequalities, in standard form, describes the scenario above?\n.5x + 2y ≤ 7\n2x +.5y ≤ 7\n30x + 2y ≤ 7\n2x + 30y ≤ 7

Answer

Explanation:

Step1: Convert time for part - file

Since it takes 30 minutes (or 0.5 hours) to make a part file and the number of part files is $x$, the total time spent on part files is $0.5x$ hours.

Step2: Find time for assembly - file

It takes 2 hours to make an assembly file and the number of assembly files is $y$, so the total time spent on assembly files is $2y$ hours.

Step3: Set up the inequality

The student can work a maximum of 7 hours. So the sum of the time spent on part files and assembly files must be less than or equal to 7 hours. The inequality is $0.5x + 2y\leq7$.

Answer:

$.5x + 2y\leq7$