Get S184 Mathematics Success Grade 8 Lesson 14: Comparing Proportional Relationships Homework Name Date

0:01 5:41 Grade 8 Math #3.1a, Proportional Relationships with Tables - YouTube YouTube Start of suggested clip End of suggested clip And check out videos 4.1 4.2 and 4.3 that'll bring you up to speed. And you'll be able to continueMoreAnd check out videos 4.1 4.2 and 4.3 that'll bring you up to speed. And you'll be able to continue on where we're at now. So we can use a table to show the relationships. And proportions.

Comparing Ratios In a proportional relationship, the two variables in the problem are related by a constant ratio. This means that the equation that relates the two variables can be written in the form: y = constant • x, or y = k • x.

6:10 6:56 Comparing proportional relationships - YouTube YouTube Start of suggested clip End of suggested clip Or between the y and the x values is also always going to be the same. And we know that that ratioMoreOr between the y and the x values is also always going to be the same. And we know that that ratio is the correct one the ratio of y to x.

The constant, k, is referred to as the constant of proportionality, the unit rate, and/or the slope. Notice in the equation y = kx, if x equals 1, then y equals k. So, on the graph of a proportional relationship, when x equals 1, the corresponding y-value is the slope.

0:44 5:06 Math Proportion word problems - YouTube YouTube Start of suggested clip End of suggested clip So I take 175 times 18 and so I'll go 175 times 18 and then I'll go 126. Times X so I'll go 126.MoreSo I take 175 times 18 and so I'll go 175 times 18 and then I'll go 126. Times X so I'll go 126. Times X is equal to let's see and 175 times 18 I've already done the math there.

0:26 4:36 Compare proportional relationships - YouTube YouTube Start of suggested clip End of suggested clip Relationship like c equals three w. The number in the equation is the unit rate so three here wouldMoreRelationship like c equals three w. The number in the equation is the unit rate so three here would be the unit. Rate. And we know several ways to find the unit rate from a graph one of the easiest.

0:13 7:17 How to visually identify proportional relationships using graphs - YouTube YouTube Start of suggested clip End of suggested clip Relationship y is always going to be equal to some constant. Times x so with that out of the wayMoreRelationship y is always going to be equal to some constant. Times x so with that out of the way let's look at these three relationships. So this one over here let me draw another column. Here.

Representing Proportional Relationships with Equations 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.

0:09 1:02 Identifying a proportional relationship from a table (example) - YouTube YouTube Start of suggested clip End of suggested clip By three you get five to three so it's the same ratio. 15 to 25. If you divide both of these by fiveMoreBy three you get five to three so it's the same ratio. 15 to 25. If you divide both of these by five you get five to three so based on this data it looks like the ratio between the number of tomatoes.