If y varies directly as x, then the graph of y against x must be a straight line through the origin.
However, if y varies directly as the square of x, for example, then the graph of y against the square of x will be the straight line through the origin - not y against x.
No; each ratio has to be the same for a direct variation.
The best graph for the purpose of comparing raw numbers between different qualitative categories would be a bar graph or some variation thereof.
It's important to use multiple lines in a line graph so that you can identify each categories without confusion.
To determine if a relationship represents direct or inverse variation, examine how the variables change in relation to each other. In direct variation, as one variable increases, the other also increases (e.g., ( y = kx ), where ( k ) is a constant). In inverse variation, as one variable increases, the other decreases (e.g., ( y = \frac{k}{x} )). You can also look for a constant ratio or product; in direct variation, the ratio ( \frac{y}{x} ) is constant, while in inverse variation, the product ( xy ) is constant.
To determine if (-12 = 6y) represents direct variation, we can rearrange the equation to solve for (y). Dividing both sides by 6 gives (y = -2), which shows that for each value of (y), there is a constant multiple of (-2). Since this equation can be expressed in the form (y = kx) (where (k) is a constant), it does represent a direct variation.
There are seven steps which are: 1. Identify the variables 2. Determine the variable range 3. Determine the scale of the graph 4. Number and label each axis 5. Plot the data points 6. Draw the graph 7. Title the graph
A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.
Help pls
when you draw a graph a key helps identify what each line or collum stands for. colorcoding each line would halp in making a key.
Oh, dude, direct variation is when two variables change in the same way. In this case, 5x + 3 = 8y + 3, so technically they are changing in the same way by adding 3 to both sides. So, yeah, I guess you could say it's a direct variation, but like, who really cares, right?
A double line graph displays two sets of data over the same time period or category, allowing for direct comparison between the two variables. Each line represents a different dataset, typically plotted on the same axes, enabling viewers to identify trends, patterns, and relationships between the two variables. This type of graph is useful for illustrating changes over time or comparing different groups or categories visually.
There are different types of variation in math - direct variation, inverse variation, and joint variation for a start. Direct variation is just simply that x and y vary directly. What this means is that they do the same thing - as x increases so does y, or as x decreases so does the value of y. In general the formula for direct variation is y=kx where k is the constant of variation. (For example we could have a direct variation equation such as y=2x. The constant of variation is 2, which just means that as x increases, y doubles that amount and thus also increases) Inverse variation is when x and y do the opposite of each other. So as x increases, y decreases or as x decreases the value of y increases. One fun example of where this happens in real life is with Ramen Noodles - the less money people make the more Ramen Noodles they buy. We would say that people's income and the amount of Ramen Noodles they buy vary inversely. In general the formula for inverse variation is y = k/x where again k is the constant of variation. Joint variation is when you have three variables that are related. The general formula for joint variation is y=kxz where z is just a third variable and k is still the constant of variation.