Question

Does this table show a proportional relationship?

If yes, what is the constant of proportionality?

A

Yes, 444 is the constant of proportionality.

B

Yes, 14\frac{1}{4}
4
1
​
is the constant of proportionality.

C

Yes, 555 is the constant of proportionality.

D

No, the quantities are not proportional.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if the table shows a proportional relationship, we need to check if the ratios between the quantities are the same. Let's calculate the ratios:

10/2 = 5
20/4 = 5
30/6 = 5

The ratios are all equal to 5, so the relationship is proportional. However, none of the answer choices correctly identify the constant of proportionality. The correct answer is not provided.

Answer 2

The values in the table show the relationship between times measured in seconds and distances measured in meters.

What is the unit rate, in meters per second, of the relationship shown in the table?

Enter your answer in the box below (number only).

meters per second

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the unit rate, we divide the distance (in meters) by the time (in seconds). Let's take any row from the table to calculate the unit rate:

Distance: 30 meters
Time: 6 seconds

Unit rate = Distance / Time = 30 meters / 6 seconds = 5 meters per second

Therefore, the unit rate of the relationship shown in the table is 5 meters per second.

Answer 4

The equation

�
=
0.25
�
y=0.25x describes a proportional relationship between
�
x and
�
y. What is the constant of proportionality?

�
=
k=

Answer 5

[AI-generated answer — Bot GPT 3.5]

In the given equation, y = 0.25x, the constant of proportionality is represented by the value 0.25.

Therefore, the constant of proportionality in this equation is 0.25.