Question

The graph compares the number of filled tables at a party with the number of party guests. Which information tells you that the graph represents a proportional relationship
a) the graph shows different intervals of each axis

b)the graph shows a straight line through the origin

c)the graph shows a line that slants upward instead of downward

d)the graph shows a relationship between two different quantities
NEED HELP ASAPPPPPP

Answer 1

Answer:

B

Step-by-step explanation:

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Answer 2

Answer:

B

Step-by-step explanation:

A proportional relationship is represented by linear function with its linear parameter "b" equal to zero. Since b is equal to zero, the line passes through the origin and the function/relation is proportional.

To verify that we divide the y coordinate over the x coordinate we obtain a constant called k, which is the slope.

For instance:

$y=2x$

According to this function we can easily check a proportional relationship among its points:

$(1,2), (2,4), (4,8), (6,12), ...$

$k=\frac{y}{x}=\frac{2}{1}=\frac{4}{2}=\frac{12}{6}\Rightarrow k=2$