Question

Use the table to answer the question.

Input
(Boxes) Output
(Cost)
1 2.25
2 4.50
3 6.75
4 9.00
How can this function be represented algebraically?

(1 point)
Responses

y=x−2.25
y equals x minus 2.25

y=2.25x
y equals 2.25 x

y=−2.25x
y equals negative 2.25 x

y=x+2.25

Answer 1

To represent the function algebraically based on the given input-output pairs, we can observe the relationship between the number of boxes (x) and the cost (y).

From the table:

- For 1 box, the cost is $2.25
- For 2 boxes, the cost is $4.50
- For 3 boxes, the cost is $6.75
- For 4 boxes, the cost is $9.00

We can see that for each additional box, the cost increases by $2.25. This indicates a linear relationship, where the cost is directly proportional to the number of boxes.

This relationship can be expressed as:

\[ y = 2.25x \]

Therefore, the correct answer is:

**y = 2.25x**.