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What is a ratio that compares two quantities with different kinds of units?
A rate.
What is a ratio that compares two quantities with different kinds of units is called a rate. When a rate is simplified so that it has a denominator of 1 unit?
That is known as a unit rate.
Why do you think rates are usually written as unit rates?
A rate is a ratio of two quantities: miles per hour, calories per cookie, dollars per person, ... a unit rate just specifies the units (miles, hours) of the two quantities.
What does the k represent in the direct variation ykx?
The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y=kx (or y=kx ) where k is the constant of variation .
Uses division to compare two quantities?
A ratio uses division to compare two quantities.
What is the relationship between two quantities in which the rate of change or the ratio of one quantity to the other is constant?
The relationship between two quantities with a constant rate of change or ratio is described as a linear relationship. In this case, the quantities can be expressed in the form of an equation, typically (y = mx + b), where (m) represents the constant rate of change (slope) and (b) is the y-intercept. If the ratio of the two quantities is constant, they are also said to be directly proportional, meaning that as one quantity increases or decreases, the other does so in a consistent manner.
If two quantities are (proportional nonproportional) they have a constant ratio.?
The answer is proportional.
What is a relationship between two quantities in which the rate of change or the ratio of one quantity to the others is constant?
A relationship between two quantities where the rate of change or the ratio of one quantity to the other is constant is known as a direct proportion. In this scenario, as one quantity increases or decreases, the other quantity changes at a consistent rate, maintaining a fixed ratio. For example, if you have a constant speed while traveling, the distance covered is directly proportional to the time spent traveling. This relationship can be expressed mathematically as ( y = kx ), where ( k ) is the constant of proportionality.
What is the ratio of two different physical quantities?
Rate
What are two quantities whose ratio is constant?
The diameter and circumference of a circle.
What is a ratio that compares two quantities with two kinds of units?
A rate.
A sentence with proportional?
Two quantities are said to be proportional if they vary in such a way that one of the quantities is a constant multiple of the other, or equivalently if they have a constant ratio.
What is the relationship between two variables quantities with a constant ratio?
It is a direct proportion.
What is constant ratio in maths?
In mathematics, a constant ratio refers to a fixed relationship between two quantities where their proportional relationship remains unchanged. For example, if two quantities ( A ) and ( B ) have a constant ratio of ( k ), it can be expressed as ( \frac{A}{B} = k ). This concept is often used in proportions and similar figures, indicating that as one quantity changes, the other changes at a consistent rate. Constant ratios are essential in various mathematical applications, including scaling and comparisons.
What is a ratio that compares two quantities with different kinds of units?
A rate.
What is a ratio comparing two quantities with different kinds of units?
A rate.
The variation between two variable quantities with a constant ratio is what?
The variation between two variable quantities with a constant ratio is called direct variation. In this relationship, as one variable increases or decreases, the other variable changes in proportion, maintaining the same ratio. Mathematically, this can be expressed as ( y = kx ), where ( k ) is a constant.
