Question

Which of the following tables represents a function that is non-proportional?

Function 1:

x
y

3 10
5 25
8 34
Function 2:

x
y

2 10
5 25
9 45
(1 point)
Function
is non-proportional.
Remaining Attempts : 3

Answer 1

To determine which table represents a non-proportional function, we need to check if the relationship between \( x \) and \( y \) is proportional. A function is proportional if the ratio \( \frac{y}{x} \) is constant for all values of \( x \).

Let's calculate the ratios for both functions:

**Function 1:**
- For \( (3, 10) \): \( \frac{10}{3} \approx 3.33 \)
- For \( (5, 25) \): \( \frac{25}{5} = 5 \)
- For \( (8, 34) \): \( \frac{34}{8} = 4.25 \)

Since the ratios are not constant, Function 1 is non-proportional.

**Function 2:**
- For \( (2, 10) \): \( \frac{10}{2} = 5 \)
- For \( (5, 25) \): \( \frac{25}{5} = 5 \)
- For \( (9, 45) \): \( \frac{45}{9} = 5 \)

Since the ratios are all constant (equal to 5), Function 2 is proportional.

Therefore, **Function 1** is the non-proportional function.