Use the table to answer the question.

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=x+2.25
y equals x plus 2.25

y=−2.25x
y equals negative 2.25 x

y=2.25x

Answer 1

To represent the function algebraically based on the input-output table, we can observe the pattern in the cost related to the number of boxes.

The output (cost) increases by $2.25 for each additional box:

• 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.

This shows that the cost is a direct multiple of the number of boxes. Thus, the relationship can be expressed as:

\[ y = 2.25x \]

where \( y \) is the cost and \( x \) is the number of boxes.

Therefore, the correct response is:

y = 2.25x