Question

The area of a classroom space per student varies inversely with the number of students in the room. When there are 15 students in the room, each student has 20 sq ft of space. How many square feet of space are available per student when there are 25 students in the classroom? I

Answer 1

you would times 20 and 15 to get 300 and then divide 300 by 25 to get 12

Answer 2

12 square feet per student

Explanation:

Givens

• The area of classroom space per student varies inversely with the number of students in the room.

This means if the number of students increases, the area will decrease, which is logically true, because the more people, less space to be there.

Now, the given ratio is: "For 15 students in the room, each student has 20 square feet of space".

So, the question we need to answer is how much space will be for 25 students?

To answer this question, we need to use the rule of three and the given ratio

`x=15 \ students \ (20ft^(2) )/(25 \ students) =12 ft^(2)`

(We know that the variables are inversely proportional, that's why we need to put 15 students on top and 25 students at the bottom of the fraction)

Therefore, there are 12 square feet per student when there are 25 students in the room.