Question

A wheelchair ramp requires a minimum 1:121:12 ratio of height to length, meaning a ramp with a height of 2.2 feet requires a length of 26.4 feet. Use a proportion to describe the relationship between the required height-to-length ratio and the ramp’s height-to-length ratio. Write the proportion in fraction form without reducing it to the lowest terms.(1 point)

Answer 1

To set up the proportion based on the given height-to-length ratio requirement, we can express it as follows:

The required ratio of height (h) to length (l) is given by:

\[ \frac{h}{l} = \frac{1}{12} \]

For a ramp with a height of 2.2 feet, the required length is 26.4 feet.

Now, the ramp's height-to-length ratio can be expressed as:

\[ \frac{2.2}{26.4} \]

Now we can write the proportion comparing the required ratio to the ramp's actual ratio:

\[ \frac{1}{12} = \frac{2.2}{26.4} \]

So, the proportion in fraction form is:

\[ \frac{1}{12} = \frac{2.2}{26.4} \]

This establishes the relationship between the required and actual height-to-length ratios without reducing to lowest terms.