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

Question

Responses

y=5x−9
y is equal to the fraction with numerator 5 and denominator x minus 9

y=23x
y is equal to 2 thirds x

y=4.08x
y is equal to 4 point 0 8 x

y=10x+10
y is equal to 10 x plus 10

y=−15x
y is equal to negative 15 x

y=x2

Answer 1

To determine which equations represent non-proportional relationships, we look for equations that do not represent a straight line through the origin (0,0) or those that include a constant term added to the product of a variable (i.e., y = mx + b where b ≠ 0).

1. y = 5x − 9 - This is non-proportional because it has a constant term (-9).
2. y = 23x - This is proportional because it can be rewritten as y = mx with m = 23, and there is no constant term.
3. y = 4.08x - This is also proportional, similar to above.
4. y = 10x + 10 - This is non-proportional because it has a constant term (+10).
5. y = −15x - This is proportional for the same reason as above.
6. y = x² - This is non-proportional because it represents a quadratic relationship, not a linear one.

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

1. y = 5x − 9 (non-proportional)
2. y = 10x + 10 (non-proportional)
3. y = x² (non-proportional)

So the correct responses would be:

• y = 5x − 9
• y = 10x + 10
• y = x²