Which THREE equations represent non-proportional relationships?(1 point)

Question

Responses

y=4.08x

y=−15x

y=x2

y=10x+10

y=2/3x

y=5/x−9

Answer 1

To determine which equations represent non-proportional relationships, we look for equations that do not have the form of \( y = kx \) (where \( k \) is a constant) or that include a constant term besides the product of \( k \) and \( x \).

Here are the given equations analyzed:

1. \( y = 4.08x \) - This is a proportional relationship.
2. \( y = -15x \) - This is also a proportional relationship.
3. \( y = x^2 \) - This is a non-proportional relationship because it is not in the form \( y = kx \).
4. \( y = 10x + 10 \) - This is non-proportional because of the additional constant (10).
5. \( y = \frac{2}{3}x \) - This is a proportional relationship.
6. \( y = \frac{5}{x} - 9 \) - This is a non-proportional relationship due to the inverse relationship and the constant (-9).

Based on this analysis, the three equations that represent non-proportional relationships are:

1. \( y = x^2 \)
2. \( y = 10x + 10 \)
3. \( y = \frac{5}{x} - 9 \)