3. In lesson 7 you learned that a proportion is *
2 points
o the number representing the relationship of two numbers written as a proportion or a ratio, typically represented by the variable k, remains the same; other names are the unit rate or rate of change
o a comparison of two quantities that have different units of measure, for example, miles per hour (mph)
o the constant represented by the ratio of two values: another name for the constant of proportionality
o an equation in which two ratios are equal to each other
o an equation in which two ratios are equal to each other
In lesson 7, you learned that a proportion is an equation in which two ratios are equal to each other.
In order to determine the correct answer to this question, let's review the information from lesson 7.
A proportion is an equation in which two ratios are equal to each other. This means that if you have two ratios, you can set them equal to each other using an equal sign.
For example, let's say we have the ratio 2:4 and we want to determine if it is a proportion. We can write it as an equation: 2/4 = x/5. This equation allows us to find the value of x by cross-multiplying (multiplying the numerator of one fraction by the denominator of the other) and then solving for x.
Now, let's take a look at the answer choices:
Option a: "the number representing the relationship of two numbers written as a proportion or a ratio, typically represented by the variable k, remains the same; other names are the unit rate or rate of change."
This is not the correct definition of a proportion. It describes the concept of a constant or a unit rate, but not specifically a proportion.
Option b: "a comparison of two quantities that have different units of measure, for example, miles per hour (mph)."
This is not the correct definition of a proportion. It describes a comparison between two quantities with different units, which is a valid concept but not the definition of a proportion.
Option c: "the constant represented by the ratio of two values: another name for the constant of proportionality."
This is also not the correct definition of a proportion. It refers to the constant of proportionality, which is related to a proportion but not the definition of it.
Option d: "an equation in which two ratios are equal to each other."
This is the correct definition of a proportion. It accurately explains that a proportion is an equation where two ratios are set equal to each other.
Therefore, the answer to this question is option d: "an equation in which two ratios are equal to each other."