A company that creates model cars uses a 1.5 foot:1 inch ratio when creating the models. If a real car is 12 feet long, how long will the model car be?
1.5 ft real = 1 inch in model
1 ft real = 1/1.5 inch in model
12 ft real = 12(1/1.5) or 8 inches in the model
or, if you have learned about ratios ...
1.5/12 = 1/x
1.5x = 12
x = 12/1.5= 8 , same as above
To find the length of the model car, we can use the given ratio of 1.5 feet:1 inch and the length of the real car, which is 12 feet.
First, we need to convert the length of the real car into inches since the ratio is given in feet and inches. We know that there are 12 inches in 1 foot. Therefore, we can multiply the length of the real car by 12 to convert it into inches:
12 feet * 12 inches/foot = 144 inches
So, the length of the real car is 144 inches.
Next, we can use the given ratio to find the length of the model car. The ratio states that 1.5 feet equals 1 inch. We can set up a proportion to solve for the length of the model car, keeping in mind that we now have the lengths in inches:
1.5 feet/1 inch = 12 feet/ x inches
Cross-multiplying, we get:
1.5 feet * x inches = 12 feet * 1 inch
1.5x = 12
To solve for x, divide both sides of the equation by 1.5:
x = 12 / 1.5
x = 8
Hence, the length of the model car will be 8 inches.