Question

max is building a model of the car shown above. the actual length of the car is 14 5/8 feet. if max plans to use a scale of 4 inches= 3 feet what will be the length of the model car

Answer 1

The length of the model car, based on Max's scale of 4 inches = 3 feet, would be 6 3/16 inches.

Step-by-step explanation:

To determine the length of the model car, we can use the given scale factor of 4 inches = 3 feet. Since the actual length of the car is 14 5/8 feet, we first convert this length to inches by multiplying it by 12 (the number of inches in a foot). Thus, the actual length in inches is \(
`14 (5)/(8) * 12 = 176.625\) inches.`

Now, using the scale factor, we can set up a proportion to find the corresponding length of the model car. Let ( x ) be the length of the model car in inches:

`\[(4)/(3) = (x)/(176.625)\]`

Solving for ( x ), we get
`\( x = (4)/(3) * 176.625 = 235.5 \)` inches. However, since we want the answer in mixed number form, we convert this back to mixed number format:
`\( 19 (3)/(16) \) inches.`

Therefore, the length of Max's model car is 19 3/16 inches, representing the actual car's length of 14 5/8 feet on the scale of 4 inches = 3 feet. Understanding and applying scale factors is crucial in model building, allowing accurate representation of real-world objects in a scaled-down form.

Answer 2

Length of model car = 19.5 inches

Step-by-step explanation:

Given:

Actual length of car =
`14(5)/(8) \ feet` = 14.625 feet

Scale 4 inches = 3 feet

Find:

Length of model car

Computation:

Length of model car = Actual length of car[4/3]

Length of model car = 14.625[4/3]

Length of model car = 19.5 inches