A ratio is a comparison of two quantities
The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
The unit rate is a comparison of two different quantities with one of the quantities having a value of 1. In this case, the unit rate of 12 miles in 3 hours would be 4 miles per hour. This means that for every 1 hour of time, the distance traveled would be 4 miles.
Rates cannot be expressed as a percentage because rates are typically ratios that compare two different quantities, such as distance traveled per unit of time. Percentages, on the other hand, represent a proportion out of 100. While rates can be converted to percentages by multiplying by 100, they are fundamentally different concepts and are expressed in different ways to accurately convey the relationship between the two quantities being compared.
Elapsed time refers to the time that passes between two events.
Elapsed time
problem of comparison of national income between time periods
The ratio between two different quantities is the rate.Usually, the second unit is a measure of time.
A ratio between two (usually) different quantities is the rate. Usually used to describe something compared to a quantity of time.
The ratio of two quantities with different units can be expressed by converting them to the same unit or by using a unitless comparison. For example, if you want to compare speed (meters per second) and time (hours), you can convert time to seconds to maintain consistent units. Alternatively, the ratio can be represented as a fraction, indicating the relationship between the two quantities, but it’s important to note that the interpretation of such a ratio may vary depending on the context.
Scalars Examples: Mass, Charge, Temperature, Density, Energy, Units of time like hours, minutes and seconds
Bar graphs are highly effective for showing quantities, as they clearly represent data through the length of bars, allowing for easy comparison between different categories. Pie charts can also depict quantities, particularly when illustrating parts of a whole, but they are less effective for detailed comparisons. Line graphs are useful for showing trends over time but are less effective for displaying discrete quantities. Overall, bar graphs are typically the best choice for directly comparing quantities.
Base quantities are independent and cannot be expressed in terms of other quantities, while derived quantities are dependent and derived from combinations of base quantities. Base quantities are fundamental in a system of measurement, while derived quantities are derived through mathematical relationships. For example, length is a base quantity, while speed is a derived quantity that depends on both length and time.
Unless you give the speed, there is no sensible comparison between time and distance.
any rate is a comparison of two changing quantities, usually one of them is time. distance vs time is a rate called speed wit units of meters per second, or miles per hour, or many others
Then is used to relate to time and than is used when there is a comparison to be made.
Examples of base quantities include length, mass, time, electric current, temperature, amount of substance, and luminous intensity. Derived quantities are those that are defined in terms of base quantities, such as velocity (length/time), acceleration (length/time^2), force (mass * acceleration), and energy (mass * (length^2/time^2)).
Contemporary comparison refers to evaluating or contrasting something with other things that exist in the present time. It involves analyzing similarities and differences between current entities, ideas, or trends.