Ratio, Proportion And Unit Rate: Trivia Quiz

Explanation
A ratio is a comparison of two quantities or numbers. It is used to express the relationship between two or more values. Ratios can be written in the form of a fraction or using the colon symbol (:). They are commonly used in mathematics and everyday life to compare quantities, such as the ratio of boys to girls in a class or the ratio of ingredients in a recipe. Ratios are useful for making comparisons and determining the relative size or amount of different quantities.

Explanation
The correct answer is "rate" because when comparing two different variables such as miles to gallons or sandwiches to people, we are looking at the relationship between the two quantities over time or distance. Rate is a measure of how one quantity changes with respect to another, and it is often expressed as a ratio or fraction. In this context, rate is the most appropriate term to describe the comparison between the variables.

Explanation
The term "unit rate" refers to the rate at which one quantity is compared to one unit of another quantity. In this context, it is used to find the amount of one quantity per unit of measurement, such as per gallon, per ounce, or per person. It helps in determining the cost, consumption, or distribution of a particular item or resource.

Explanation
A proportion is a mathematical statement that states that two ratios are equal. In other words, it is a way of showing that two fractions or ratios are equivalent. This makes the answer "proportion" the correct choice for this question.

Explanation
The word "equivalent" means having the same value or meaning. In this context, it can be understood that the words "various," "total," "sum," and "equal" are all synonyms for "equivalent." They all convey the idea of things being the same or equal in some way. Therefore, "equal" is the correct answer because it is synonymous with "equivalent."

Explanation
The term "putting a fraction or ratio in the lowest terms" means simplifying or reducing the fraction to its simplest form. This involves dividing both the numerator and denominator by their greatest common divisor to eliminate any common factors. By simplifying the fraction, it becomes smaller and easier to work with. Therefore, the correct answer is "simplify".

Explanation
All the given options are correct ways to express a ratio except for "one fourth". The term "one fourth" is used to represent a fraction or a part of a whole, rather than a ratio. Ratios are typically expressed using the format "a:b" or "a to b", where "a" and "b" are both numbers. Therefore, "one fourth" does not fit the definition of a ratio.

Explanation
The ratio 9:12 is equivalent to the ratio 3:4 because both ratios can be simplified by dividing both numbers by their greatest common divisor, which in this case is 3. When we divide 9 and 12 by 3, we get 3 and 4 respectively, resulting in the ratio 3:4. Therefore, the ratio 9:12 is equivalent to 3:4.

Explanation
The ratio of 24:105 can be simplified by finding the greatest common divisor (GCD) of the two numbers and dividing both numbers by it. In this case, the GCD of 24 and 105 is 3. Dividing both numbers by 3 gives us 8 and 35. Therefore, the ratio 24:105 in the lowest terms is 8:35.

Explanation
Percent means out of 100. It is a way of expressing a portion or fraction of a whole as a value out of 100. For example, if something is 50%, it means it represents half of the whole, as half of 100 is 50. Therefore, the correct answer is 100 because percent is based on a scale of 100.