Final answer:
The question pertains to identifying non-equivalent proportions. In Mathematics, especially at the Middle School level, understanding proportions is key. Option d) c/d = b/a is the non-equivalent proportion among the choices given.
Step-by-step explanation:
The subject of the question is Mathematics, and it is likely intended for Middle School grade level. The question is regarding which of the given options are not equivalent proportions.
A proportion occurs when two ratios are equal to one another, such as 1/2 = 3/6. A unit rate is a ratio where one of the measurements has a value of 1, like 55 miles per hour (55/1 miles/hour). A unit scale is a ratio that compares dimensions of an actual object to a scale drawing or model; an example is a map unit scale of 1 inch = 100 feet.
To address the question, the provided options a), b), c), and d) need to be evaluated to determine which is not an equivalent proportion:
- a) a/b = c/d
- b) b/a = d/c
- c) d/b = c/a
- d) c/d = b/a
Options a), b), and d) are all examples of equivalent proportions if cross-multiplied. In each of these, if you cross-multiply, the two sides of the equation will be equal. Option c), however, is different. When you cross-multiply c) d/b = c/a, we get ad = bc which is a different relationship than what we get with a/b = c/d which is ad = cb (after cross-multiplying).
Therefore, the correct answer is:
d) c/d = b/a