Question

Base on table above is the scenario a proportional relationship

Answer 1

Answer:

No

Explanations:

A relationship is called a proportional relationship if it has two variables that are realated by the same ration. In this case there will be a proportionality constant.

In this table:

Let Height be represented as H

Let Time be represented as T

For the relationship to be a proportional relationship, it must obey the relation:

`\begin{gathered} H\propto\text{ T} \\ H\text{ = kT} \\ \text{Where k is the proportionality constant} \end{gathered}`

When T = 3, H = 15

Using H = kT

15 = 3k

k = 15 / 3

k = 5

When T = 6, H = 30

H = kT

30 = 6k

k = 30 / 6

k = 5

When T = 12, H = 45

H = kT

45 = 12k

k = 45 / 12

k = 3.75

Since the constant of proportionality is the the same for the three cases in the table, the scenario is not a proportional relationship