A model is made of a car. The car is 7 feet long, and the model is 16 inches long. What is the ratio of the length of the car to the length of the model?
4:21
7:16
16:7
21:4
I think it is C.
7' = 84", so the ratio is
84:16
Now reduce that to see which choice it matches.
21:4
To find the ratio of the length of the car to the length of the model, you need to compare the two lengths.
Given that the car is 7 feet long and the model is 16 inches long, you need to convert the units to the same measurement. Since 1 foot is equal to 12 inches, you can convert the length of the car to inches by multiplying it by 12.
So, 7 feet * 12 inches/foot = 84 inches.
Now, you can compare the lengths:
Car length: 84 inches.
Model length: 16 inches.
The ratio of the length of the car to the length of the model is 84:16, which simplifies to 21:4.
Therefore, the correct answer is D. 21:4.
To find the ratio of the length of the car to the length of the model, you need to divide the length of the car by the length of the model.
First, convert the measurements to the same units. Since the car is in feet and the model is in inches, we need to convert one of them for the comparison.
Since 1 foot is equal to 12 inches, we can convert the length of the car from feet to inches:
7 feet x 12 inches/foot = 84 inches.
Now, the ratio is calculated by dividing the length of the car by the length of the model:
Ratio = Length of the car / Length of the model
Ratio = 84 inches / 16 inches = 5.25
The ratio of the length of the car to the length of the model is 5.25:1, which simplifies to 21:4.
Therefore, the correct answer is D: 21:4.