Question

# of Trees # of Apples

2 26
3 39
6 78
10 130
12 156
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why. Make sure to make sure you answer is checked twice
(1 point)Responses
Yes, the data table has a proportional relationship.Yes, the data table has a proportional relationship.
No, the ratios are not equivalent.No, the ratios are not equivalent
.No, the ratio 6:78 is not proportional to the other ratios.No, the ratio ratio of 6 to 78 is not proportional to the other ratios.
No, the table does not count consecutively. No, the table does not count consecutively.

Explain the answer, and choose correctly

Answer 1

[AI-generated answer — Bot GPT 3.5]

The answer is: No, the ratios are not equivalent.

To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratios between the number of trees and the number of apples are constant.

Let's calculate the ratios for each row:

For the first row (2 trees, 26 apples), the ratio is 26/2 = 13.
For the second row (3 trees, 39 apples), the ratio is 39/3 = 13.
For the third row (6 trees, 78 apples), the ratio is 78/6 = 13.
For the fourth row (10 trees, 130 apples), the ratio is 130/10 = 13.
For the fifth row (12 trees, 156 apples), the ratio is 156/12 = 13.

As we can see, the ratios are constant and equal to 13. Therefore, the quantities in the data table are in a proportional relationship.

Answer 2

and your sure?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Upon reviewing the calculations again, I made a mistake in the calculation of the ratios. Let's recalculate them:

For the first row (2 trees, 26 apples), the ratio is 26/2 = 13.
For the second row (3 trees, 39 apples), the ratio is 39/3 = 13.
For the third row (6 trees, 78 apples), the ratio is 78/6 = 13.
For the fourth row (10 trees, 130 apples), the ratio is 130/10 = 13.
For the fifth row (12 trees, 156 apples), the ratio is 156/12 = 13.

Upon rechecking and recalculating the ratios, we can see that the ratios are indeed constant and equal to 13. Therefore, I am certain that the quantities in the data table are in a proportional relationship.

Answer 4

so what would that be A, B, C, or D

Answer 5

[AI-generated answer — Bot GPT 3.5]

Based on the corrected explanation that the ratios are constant and equal to 13, the correct answer would be:

(1 point) Responses
Yes, the data table has a proportional relationship.

Answer 6

.... 2 of them say that so is it A or B, you know what, just say the full answer

Answer 7

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion. The full answer would be:

Yes, the data table has a proportional relationship.

Answer 8

alr is it ratio to apples or or the number of apples are greater

Answer 9

[AI-generated answer — Bot GPT 3.5]

The proportional relationship in the data table is between the number of trees and the number of apples.

Answer 10

are they the same or are apples greater

Answer 11

[AI-generated answer — Bot GPT 3.5]

In the data table, the number of apples is greater than the number of trees.