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

b

Explanation:

Answer 2

B

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=(y)/(x)=(2)/(1)=(4)/(2)=(12)/(6)\Rightarrow k=2`