Question

The table compares the height of a table and the height of the chairs (both in centimeters) in several different kitchen sets at a furniture store.
Can the height of the chairs be represented as a function of the height of the table?
Table (centimeters) Chairs (centimeters)
\[75\]
\[46\]
\[74\]
\[44\]
\[76\]
\[47\]
\[75\]
\[46\]
\[72\]
\[43\]
\[77\]
\[48\]
\[76\]
\[47\]
\[71\]
\[42\]
Choose 1 answer:
Choose 1 answer:
(Choice A) Yes
A
Yes
(Choice B) No
B
No

Answer 1

To determine whether the height of the chairs can be represented as a function of the height of the table, we need to check if each height of the table corresponds to only one height of the chairs.

Let's analyze the given pairs:

- For table height 75 cm, chair height is 46 cm (two occurrences).
- For table height 74 cm, chair height is 44 cm (only one occurrence).
- For table height 76 cm, chair height is 47 cm (two occurrences).
- For table height 72 cm, chair height is 43 cm (only one occurrence).
- For table height 77 cm, chair height is 48 cm (only one occurrence).
- For table height 71 cm, chair height is 42 cm (only one occurrence).

Since the table height of 75 cm corresponds to the chair height of 46 cm twice and the height of 76 cm corresponds to the height of 47 cm twice, a single table height can correspond to multiple chair heights.

Therefore, the height of the chairs cannot be represented as a function of the height of the table.

The answer is: (Choice B) No.