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Now, we're going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.

0:00 4:59 Equations of proportional relationships | 7th grade - YouTube YouTube Start of suggested clip End of suggested clip So let's set up a relationship between the variables x and y. So let's say so this is x. And this isMoreSo let's set up a relationship between the variables x and y. So let's say so this is x. And this is y. And when x is one y is four and when x is two y is 8. And when x is 3 y is 12..

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

There are two distinct types of proportional relationship relevant to secondary school chemists: direct and inverse proportion.

So the key in identifying a proportional relationship is look at the different values that the variables take on when one variable is one value, and then what is the other variable become? And then take the ratio between them.

When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay. Also, the less money we pay, the less gas we'll put in our car.

For example, if each square foot of carpet costs $1.50, then the cost of the carpet is proportional to the number of square feet. The constant of proportionality in this situation is 1.5.

Ratios and proportions are foundational to student understanding across multiple topics in mathematics and science. In mathematics, they are central to developing concepts and skills related to slope, constant rate of change, and similar figures, which are all fundamental to algebraic concepts and skills.

An equation is said to be in proportion when the elements in it, say, a, b, c and d are in proportion. a and d are called extremes, whereas b and c are called mean terms. The product of means in the ratio is equal to the product of extremes.

Now, we're going to consider an example of proportional relationship in our everyday life: When we put gas in our car, there is a relationship between the number of gallons of fuel that we put in the tank and the amount of money we will have to pay. In other words, the more gas we put in, the more money we'll pay.