Ming wrote the table of points below. x
y
5
10
10
20
15
30

Which explains whether or not Ming has described a proportional relationship, and why?
Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin.
Ming has not described a proportional relationship. Although it is a linear relationship, it does not pass through the origin.
Ming has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
Ming has described a proportional relationship because the line does not pass through the or

Ming has described a proportional relationship because the ordered pairs are linear and the line passes through the origin

Step-by-step explanation:

Given

x - y

5 - 10

10 - 20

15 - 30

Required

Determine if the data are proportional

The dataset is small; so, we can derive the relationship by observation.

By observing the x and y values, the relationship is:

y = 2x --- i.e. multiply x values by 2.

This is further proven by:

y = 2 * 5 = 10

y = 2 * 10 = 20

y = 2 * 15 = 30

y = 2 * 0 = 0 --- the origin

Hence, the dataset is proportional and it passes through the origin.

5

10

15

20

25

30

35

40

45

50

55

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: