Given the table 'Characteristics of Homes For Sale on Katrina's Street':

| Bedrooms | Acres of land | Sale price | Appraised value | Property tax |
| -------- | ------------- | ---------- | --------------- | ------------ |
| 2 | 0.17 | $230,000 | $200,000 | $1,220 |
| 2 | 0.20 | $210,000 | $220,000 | $1,232 |
| 3 | 0.20 | $275,000 | $250,000 | $1,400 |
| 4 | 0.24 | $275,000 | $275,000 | $1,540 |
| 4 | 0.52 | $360,000 | $310,000 | $1,736 |
| 4 | 0.75 | $350,000 | $320,000 | $1,792 |
| 5 | 1.23 | $375,000 | $350,000 | $1,960 |

Which relationship describes a function?
A. (bedrooms, sale price)
B. (acres of land, appraised value)
C. (sale price, bedrooms)
D. (appraised value, property tax)

A function requires each input to have only one output.
(bedrooms, sale price) is not a function because some bedroom counts have multiple sale prices.
(acres of land, appraised value) is not a function because some acreages have multiple appraised values.
(sale price, bedrooms) is not a function because some sale prices have multiple bedroom counts.
(appraised value, property tax) is a function because each appraised value has a unique property tax. Therefore, the answer is (appraised value, property tax).

Explanation

Understanding the Problem We need to determine which of the given relationships represents a function. A function is a relation where each input has only one output. We will check each option to see if it satisfies this condition.

Checking Each Relationship

(bedrooms, sale price):



2 bedrooms: $230,000, $210,000 (Not a function, since 2 has two outputs)


(acres of land, appraised value):


0.17 acres: $200,000
0.20 acres: $220,000, $250,000 (Not a function, since 0.20 has two outputs)


(sale price, bedrooms):


$230,000: 2 bedrooms
$210,000: 2 bedrooms
$275,000: 3 bedrooms, 4 bedrooms (Not a function, since 275,000 has two outputs)


(appraised value, property tax):


$200,000: $1,220
$220,000: $1,232
$250,000: $1,400
$275,000: $1,540
$310,000: $1,736
$320,000: $1,792
$350,000: $1,960 (This is a function, since each appraised value has only one property tax)


Final Answer Therefore, the relationship that describes a function is (appraised value, property tax).

Examples
In real life, understanding functions is crucial in various scenarios. For instance, consider a vending machine where each button (input) corresponds to a specific snack (output). If pressing the same button sometimes gives you different snacks, the machine isn't functioning correctly as a function. Similarly, in data analysis, we often look for functional relationships between variables to make predictions or understand patterns, such as predicting sales based on advertising expenditure.

Answered by GinnyAnswer | 2025-07-03

The relationship that describes a function is (appraised value, property tax) because each appraised value corresponds to exactly one property tax. The other relationships do not meet this criterion, as they each have inputs associated with multiple outputs.
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Answered by Anonymous | 2025-07-04