John's car is 13 feet long. He is making a model that is 1/12 of the actual size. Which proportion below should be used to find the length, L, of the model?
A(wrong) 13/L = 1/12
B(correct) L/13 = 1/12
C(wrong) L/13 = 1/L
D(wrong) 12/L = 13/1
I don't get it! How is it B?
let the model length be L
Does it not say "John's car is 13 feet long. He is making a model that is 1/12 of the actual size" ??
which translates to L = (1/12)13
divide both sides by 13 and you get
L/13 = 1/12
mmmhhh?
To find the length, L, of the model, we need to determine the correct proportion.
Let's break down the problem step by step:
1. The actual length of John's car is given as 13 feet.
2. The model is 1/12 of the actual size. This means that the length of the model is 1/12 times the actual length.
3. We need to find the proportion that relates the length of the model (L) with the actual length (13 feet).
Now let's analyze the given options:
A. 13/L = 1/12
This proportion implies that the actual length (13) is divided by the length of the model (L), which does not match our problem setup.
B. L/13 = 1/12
This proportion matches our problem setup. It means that the length of the model (L) is divided by the actual length (13 feet), to be equal to 1/12.
C. L/13 = 1/L
This proportion suggests that the length of the model (L) is divided by the actual length (13 feet), which is incorrect because the ratio on the right side should be 1/12, not 1/L.
D. 12/L = 13/1
This proportion implies that the length of the model (L) is divided by 12, which does not match our problem setup.
Therefore, the correct proportion to find the length, L, of the model is B:
L/13 = 1/12.