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.
Let x be the height-to-length ratio of the required wheelchair ramp. The proportion can be written as x/1:12/1.
Let's say the required height-to-length ratio for the wheelchair ramp is represented by the fraction a:b, where a is the height and b is the length.
According to the given information, the required height-to-length ratio is 1:12, which can be written as 1/12.
Now, let's express the height-to-length ratio of the ramp as a fraction. Let's represent this ratio as c:d, where c is the height of the ramp and d is the length of the ramp.
According to the information given, the height of the ramp is 2.2 feet and the length of the ramp is 26.4 feet. So, the height-to-length ratio of the ramp is 2.2:26.4.
To write this ratio as a fraction, we divide both the height and length by a common factor. Let's divide both the height and length by 2.2.
2.2/2.2 = 1 and 26.4/2.2 = 12.
So, the height-to-length ratio of the ramp can be written as 1:12, which is the same as the required height-to-length ratio of the ramp.
Therefore, the proportion describing the relationship between the required height-to-length ratio and the ramp’s height-to-length ratio is:
(a:b) = (c:d)
Substituting the values we have:
(1:12) = (2.2:26.4)
Hence, the proportion is 1:12 = 2.2:26.4.
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. Let's use the variables h1 and l1 to represent the required height and length ratios, and h2 and l2 to represent the ramp's actual height and length ratios.
The required height-to-length ratio is 1:12, which means h1/l1 = 1/12.
The ramp's height-to-length ratio can be calculated by dividing the actual height of the ramp by its actual length. In this case, we are given that the height is 2.2 feet and the required length is 26.4 feet, so h2/l2 = 2.2/26.4.
To write the proportion in fraction form without reducing it to the lowest terms, we have:
h1/l1 = 1/12
h2/l2 = 2.2/26.4
Therefore, the proportion describing the relationship between the required height-to-length ratio and the ramp's height-to-length ratio is:
(1/12) : (2.2/26.4)