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)
Let's represent the required height-to-length ratio as a fraction:
Required height-to-length ratio = height / length
Now, let's represent the ramp's height-to-length ratio as a fraction:
Ramp's height-to-length ratio = 2.2 feet / 26.4 feet
The proportion can be written as:
Required height-to-length ratio / Ramp's height-to-length ratio
So the proportion in fraction form without reducing it to the lowest terms is:
( height / length ) / (2.2 feet / 26.4 feet)
To describe the relationship between the required height-to-length ratio and the ramp's height-to-length ratio, we can set up a proportion using the given information.
The required height-to-length ratio is 1:12, meaning that for every 1 unit of height, there should be 12 units of length. We can write this as:
required ratio = height/length = 1/12
On the other hand, the ramp's height-to-length ratio is given as 2.2/26.4. We can write this as:
ramp's ratio = height/length = 2.2/26.4
So the proportion that describes the relationship between the required ratio and the ramp's ratio is:
required ratio / ramp's ratio = (1/12) / (2.2/26.4)
To divide fractions, we can multiply by the reciprocal of the second fraction. So, we have:
required ratio / ramp's ratio = (1/12) * (26.4/2.2)
Now, we can simplify the fraction:
required ratio / ramp's ratio = (26.4/12) * (2.2/1)
Multiplying the numerators together and denominators together, we get:
required ratio / ramp's ratio = (26.4 * 2.2) / (12 * 1)
Therefore, the proportion in fraction form without reducing it to the lowest terms is:
required ratio / ramp's ratio = 57.84 / 12