Question

which of the following is a mathematical statement showing that one ratio is equal to another ratio?
factor
expression
proportion
term
question 4 (5 points)
since a proportion involves two ratios, every proportion must have four terms. the first and fourth terms are called which of the following?
averages
means
extremes
medians

Explanation:

First Question (Which of the following is a mathematical statement showing that one ratio is equal to another ratio?)

• A "Factor" is a number that divides another number without leaving a remainder, not related to equal ratios.
• An "Expression" is a combination of numbers, variables, and operations, not a statement of equal ratios.
• A "Proportion" is defined as a mathematical statement that two ratios are equal (e.g., \(\frac{a}{b}=\frac{c}{d}\)).
• A "Term" is a single number, variable, or product/quotient of numbers and variables, not related to equal ratios.

• In a proportion \(\frac{a}{b}=\frac{c}{d}\) (or \(a:b = c:d\)), the terms are \(a\), \(b\), \(c\), \(d\). The first (\(a\)) and fourth (\(d\)) terms are called "Extremes", while the second (\(b\)) and third (\(c\)) terms are called "Means". "Averages" are measures of central tendency, and "Medians" are the middle value in a data set, neither related to proportion terms.

Answer:

C. Proportion

Second Question (Since a proportion involves two ratios, every proportion must have four terms. The first and fourth terms are called which of the following?)