Category #1
What is Constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. In our tomato example, that ratio is $3.00/2, which equals $1.50. Two quantities are directly proportional when they increase and decrease at the same rate.
what is rate of change?
ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.
what is proportion?
Proportion is a central principle of architectural theory and an important connection between mathematics and art. It is the visual effect of the relationships of the various objects and spaces that make up a structure to one another and to the whole
what is percent error?
Percent error, sometimes referred to as percentage error, is an expression of the difference between a measured value and the known or accepted value. It is often used in science to report the difference between experimental values and expected values.May 16, 2014
what is markdown?
Markup is the amount of money above their cost of a product or service that a business will charge for that product or service. ... Markdown is the reduction in price of a product or service based on a percentage of the original price.
what is equivalent ratios?
Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number.
what is cross products?
n mathematics and vector algebra, the cross product or vector product is a binary operation on two vectors in three-dimensional space and is denoted by the symbol. Given two linearly independent vectors and, the cross product, is a vector that is perpendicular to both and and thus normal to the plane containing them.
what is unit rate?
Rates. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
what is principal?
The total amount of money borrowed (or invested), not including any interest or dividends.
what is percent of decrease?
Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.
what is rate?
a rate is the ratio between two related quantities.[1] If the denominator of the ratio is expressed as a single unit of one of these quantities, and if it is assumed that this quantity can be changed systematically (i.e., is an independent variable), then the numerator of the ratio expresses the corresponding rate of change in the other (dependent)variable.
what is non proportional
Mathematics . (of two quantities) having the same or a constant ratio or relation: The quantities y and x are proportional if y/x = k, where k is the constant of proportionality.
what is direct variation?
Directly Proportional. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If b is directly proportional to a, the equation is of the form b = ka (where k is a constant)
what is gratuity?
A tip or gratuity is an amount of money that is given to a worker such as a waiter or waitress who performs a service for you. A common tip amount is 15% of the cost of the meal or other service. Generally a tip is determined based on the total bill which includes the cost of the meal and sales tax.
what is selling price?
The selling price is the sum total of the cost price and the profit margin set by the seller. The profit margin or loss is always represented as percentage of cost price. The formula to calculate the selling price is expressed as follows: Example. The cost price of product is $250,000.
constant rate of change?
(Constant rates of change) The (constant) rate of change with respect to the variable x of a linear function y = f(x) is the slope of its graph. If x and f have units in Definition 2, then the units of the rate of change are those of f divided by those of x.
what is slope?
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
what is proportional?
In mathematics, two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant, that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.
what is percent of change?
Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.
what is markup?
If the cost is known and the percentage markup is known, the sale price is the original cost plus the amount of markup. For example, if the original cost is $4.00 and the markup is 25%, the sales price should be $4.00 + $4.00*25/100 = $5.00.
what is linear relationship?
A relationship of direct proportionality that, when plotted on a graph, traces a straight line. In linear relationships, any given change in an independent variable will always produce a corresponding change in the dependent variable.
what is derived unit?
In chemistry, a derived unit is an SI unit of measurement comprised of a combination of the seven base units. Examples: The SI unit of force is the derived unit newton or N. A newton is equal to 1 m. · kg/s2.
what is discount?
Math Term Definition. Discount. A discount is a percentage that is subtracted from a number. For example, a 10% discount of $30 is $3 (10% converted to a decimal is .10 and .10 x 30 is 3). So an item that sells for $30 and is being offered at a 10%discount can be bought for $27.
what is sales tax?
sales tax. • a tax that is added to the price of particular goods and services, usually as a percentage of the purchase price.
what is percent of increase?
Definition: Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value. The figures are arrived at by comparing the initial (or before) and final (or after) quantities according to a specific formula.