Mika wrote the table of points below.
x 0 3 6
y 2 5 8
Which explains whether or not Mika has described a proportional relationship, and why?
A. Mika has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
B. Mika has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
C. Mika has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
D. Mika has described a proportional relationship because the line does not pass through the origin.

linear pair postulates

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."