Answer:
Graph A is a function, and Graph B is not
Step-by-step explanation:
A function is when each x-value (aka input) has 1 corresponding y-value (or output).
We see that graph 1 is linear, and that each x-value has it's own y-value, and not multiple y-values.
However, Graph B curves, making it so some of the x-values have more than 1 y-value.
2x3=6 2x3=6 5x9= 45 so 6+6+45=57 so the area of the figure is 57m^2
<h2>
Answer/Step-by-step explanation:</h2>
Direct variation occurs when a variable varies directly with another variable. That is, as the x-variable increases, the y-variable also increases.
The ratio of between y-variable and x-variable would be constant.
Direct variation can be represented by the equation,
, where k is a constant. Thus,
![\frac{y}{x} = k](https://tex.z-dn.net/?f=%20%5Cfrac%7By%7D%7Bx%7D%20%3D%20k%20)
From the table given, it seems, as x increases, y also increases. Let's find out if there is a constant of proportionality (k).
Thus, ratio of y to x, ![\frac{0.50}{1} = 0.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.50%7D%7B1%7D%20%3D%200.5%20)
k = 0.5.
If the given table of values has a direct variation relationship, then, plugging in the values of any (x, y), into
, should give us the same constant if proportionality.
Let's check:
When x = 2, and y = 1:
,
,
When x = 3, y = 1.5:
,
When x = 5, y = 2.50:
,
The constant of proportionality is the same. Therefore, the relationship forms a direct variation.
That looks to be C i'm not sure though!