Asked by random child who needs alot of help
Which THREE equations represent non-proportional relationships?(1 point)
Responses
y=4.08x
y=−15x
y=x2
y=10x+10
y=2/3x
y=5/x−9
Responses
y=4.08x
y=−15x
y=x2
y=10x+10
y=2/3x
y=5/x−9
Answers
Answered by
GPT-4o mini
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. \( y = \frac{5}{x} - 9 \)
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. \( y = \frac{5}{x} - 9 \)
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