Question

The scale on a model railroad train set is 3.5 millimeters to 1 foot. If the length of a model car in the set is 150 millimeters, what is the approximate length of the actual car?

Answer 1

Answer:

43ft

Step-by-step explanation:

The answer is B.

Here's another way to solve this problem.

1. Write the scale ratio

3.5 mm

1 ft

2.  Choose a variable, such as r, to represent the approximate length of the actual railroad car

3. Write the ratio of the length of the model car to the length of the actual car:

150 mm

r ft

4. Write a proportion

3.5=150

1= r

5. Cross multiply

3.5

r=150

   3.5

r=42.9, which rounds to 43.

so the, approximate length of the actual car is 43 feet

Answer 2

Answer:

The approximate length of the actual car is 43 feet.

Step-by-step explanation:

Given:

The scale on a model railroad train set is 3.5 millimeters to 1 foot. If the length of a model car in the set is 150 millimeters.

Now, to find the approximate length of the actual car.

Let the actual length of the car is $x.$

The length of a model car in the set is 150 millimeters.

As, given the scale on a model railroad train set is 3.5 millimeters to 1 foot.

So, 3.5 millimeters equivalent to 1 foot.

Thus, 150 millimeters to $x$.

Now, to get the actual length of the car by using cross multiplication method:

$\frac{3.5}{1} =\frac{150}{x}$

By using cross multiplying we get:

$3.5x=150$

Dividing both sides by 3.5 we get:

$x=42.85\ feet.$

The approximate length of the actual car = 43 feet.

Therefore, the approximate length of the actual car is 43 feet.