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?
(1 point)
Responses
17.5 in
17.5 in
20.5 in
20.5 in
83.6 in
83.6 in
100.8 in
To find the width of the model, we need to determine the width of the classroom first.
Let's assume the width of the classroom is "w".
According to the given information, the length of the classroom is 2.4 times its width, so the length can be calculated as 2.4w.
We are given that the length of the student's model is 42 inches, so we can set up the following equation to solve for the width of the classroom:
length of student's model = length of classroom / width of classroom
42 = (2.4w) / w
We can simplify the equation by canceling out the w's on the right side:
42 = 2.4
Since the equation does not hold true, there seems to be some mistake in the given options or the problem statement. None of the options listed seem to be correct.
To find the width of the model, we need to determine the width of the actual classroom first.
Given that the length of the classroom is 2.4 times its width, we can set up the equation:
Length = 2.4 * Width
Given that the length of the student's model is 42 inches, we can substitute this value into the equation:
42 = 2.4 * Width
To solve for the width, divide both sides of the equation by 2.4:
Width = 42 / 2.4
Calculating the division, the width of the model should be approximately 17.5 inches.
Therefore, the correct answer is:
17.5 in