Question

Nate and his friends are building a skateboard ramp for an upcoming contest. The length of the ramp on the blueprint is 7.6 inches. If the scale on the blueprint is 1 inch to 4 feet, what is the actual length of the ramp?

Answer 1

Answer:

30.4 feet.

Step-by-step explanation:

We have been given the length of the ramp on the blueprint is 7.6 inches.  The scale on the blueprint is 1 inch to 4 feet. We are asked to find the actual length of the ramp.

We will use proportions to solve our given problem as:

$\frac{\text{Actual length}}{\text{Scale length}}=\frac{4\text{ ft}}{1\text{ inch}}$

Now, we will substitute the scale length of ramp in our proportion as:

$\frac{\text{Actual length}}{7.6 \text{ Inches}}=\frac{4\text{ ft}}{1\text{ inch}}$

$\frac{\text{Actual length}}{7.6 \text{ Inches}}\cdot 7.6 \text{ Inches}=\frac{4\text{ ft}}{1\text{ inch}}\cdot 7.6 \text{ Inches}$

$\text{Actual length}=4\text{ ft}\cdot 7.6$

$\text{Actual length}=30.4\text{ ft}$

Therefore, the actual length of the ramp would be 30.4 feet.