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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 the ratio of two different physical quantities?
Rate
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 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 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.
What is a variation that is the relationship between two variable quantities with a constant ratio?
Direct variation.
What makes two ratios equivalent?
They have a constant rate or ratio.
