Question

Question
A wheelchair ramp requires a minimum 1:12
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)
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Answer 1

To represent the relationship using a proportion, we need to set up the ratio of height to length for both the required ratio and the actual ramp.

Given the required height-to-length ratio of 1:12, we can express this as:

\[
\frac{\text{Height}}{\text{Length}} = \frac{1}{12}
\]

For the ramp with a height of 2.2 feet and a length of 26.4 feet, we can express this ratio as:

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

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

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

This proportion represents the relationship between the required height-to-length ratio and the ramp's height-to-length ratio without reducing it to the lowest terms.