Algebra - The Definition of a Function
The Meaning of Life - The Book of Life is the 'brain' of The School of Life, Projects, relationships, interests and commitments will build up cumulatively. . to go up to a stranger and finger their cheeks or touch them between their legs. .. ask us to stick with a set of almost intractable mathematical problems for a long time. touch should always feel helpful, and fair.' going to think about three other kinds of relationships - with a helper Examples of acquaintances might be the grocery store clerk; the .. showed him where the class was in the math book. Peter. Touch and go definition: If you say that something is touch and go, you mean that you are uncertain whether it | Meaning, pronunciation, translations and.
You get 5 points per question.
Two questions right, well, 2 times 5 is So this all makes sense. So then they ask us, which of the following statements are true? Check all that apply. So let's think about this. They say the dependent variable is the number of points you score. So when you think about what's happening here, is your number of points you score is being driven by how many questions you get right.
It's not like somehow the teacher says you got 15 points and now you have to get exactly three questions right. It's the other way around. The number of questions you get right is the independent variable, and that's driving the number of points you score. So the number of points you score is the dependent variable. And typically, the convention is to have the dependent variable be equal to some expression involving the independent variable. And you see that right over here.
Depending on the number of questions, you multiply it by 5, and you get p. So the dependent variable is the number of points you score. It'll hopefully seem a little bit more straightforward once we look at some examples.
Dependent & independent variables
So let's say I'm looking at a recipe for some type of baked goods, maybe it's some type of pancakes, I've been making a lot of those lately, and we know that for a certain number of eggs how many cups of milk we need. So we have number of eggs, and then we're also going to have cups of milk. And in this recipe, we know that if we're going to use one egg, then we would use two cups of milk, and if we use three eggs, then we're gonna use six cups of milk, and if we use, let's say, 12 eggs, then we're going to use 24 cups of milk.
So is this a proportional relationship where the two variables are the cups of milk and the number of eggs? Well, to test that we just have to think about the ratio between these two variables.
And you can say that the ratio of the number of eggs to the cups of milk, or the ratio of the cups of milk to the number of eggs. But you just need to ensure that they are always equivalent in these scenarios.
So let me make another column here, and I'm gonna think about the ratio of the eggs to the cups of milk. Well, in this first scenario one egg for two cups of milk. This second scenario is three to six. This third scenario is 12 to Are these equivalent ratios? Well, to go from one to three you multiply by three, and also, to go from two to six, you multiply by three. So you multiplied both the variables by three.
Similarly, if you multiply the number of eggs by four, then you multiply the number of cups of milk by four as well. So these indeed are all equivalent ratios, one to two, three to six, 12 to In every scenario you have twice as much cups of milk as you have number of eggs.
So this would be proportional. Now what would be an example of a non-proportional relationship?
Graphing proportional relationships from a table (video) | Khan Academy
We'll stay in this baked goods frame of mind. Let's say you're going to a cake store and you're curious about how much it would cost to buy a cake for different numbers of people. So let's say number of servings, number of servings in one column, and then the cost of the cake.