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A civil engineer is making a scale model of a highway on ramp. The length of the model is 4 inches. The actual length of the on ramp is 500 ft.

A.)what is the scale of the model?


B.)how many times as long as the actual on ramp is the model?


C.) how many times as long as the model is the actual on ramp?

**answer ASAP PLSSS

1 Answer

3 votes

Final answer:

The scale of the model is 1 inch = 125 feet. The model is 125 times as long as the actual on ramp. The actual on ramp is 0.008 times as long as the model.

Step-by-step explanation:

To find the scale of the model, we need to determine how many inches represent 500 feet. Since the length of the model is 4 inches, we can set up a proportion to solve for the scale:

4 inches / x inches = 500 feet / 1

Cross multiplying gives us:

4x = 500

Dividing both sides by 4 gives us:

x = 125

Therefore, the scale of the model is 1 inch = 125 feet.

To determine how many times as long as the actual on ramp the model is, we can divide the length of the model by the actual length of the on ramp:

4 inches / 500 feet = 1 inch / x

Cross multiplying gives us:

4x = 500

Dividing both sides by 4 gives us:

x = 125

Therefore, the model is 125 times as long as the actual on ramp.

To determine how many times as long as the model the actual on ramp is, we can divide the actual length of the on ramp by the length of the model:

500 feet / 4 inches = x feet / 1 inch

Cross multiplying gives us:

500x = 4

Dividing both sides by 500 gives us:

x = 0.008
Therefore, the actual on ramp is 0.008 times as long as the model.

User Ariele
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