An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student’s model is 42 in. What should the width of the model be?

Question

(1 point)
Responses

17.5 in
17.5 in

20.5 in
20.5 in

83.6 in
83.6 in

100.8 in
100.8 in

Answer 1

Let's assume the width of the classroom is 'w'.

According to the problem, the length of the classroom is 2.4 times its width. So, the length of the classroom can be represented as 2.4w.

Now, we are given the length of the student's model as 42 in.

Since the length of the student's model should be equivalent to the length of the actual classroom, we can equate the two lengths:

2.4w = 42

To find the width of the model, we need to solve this equation for 'w':

w = 42 / 2.4 = 17.5

Therefore, the width of the model should be 17.5 in.

Hence, the correct answer is 17.5 in.