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Question Select the option below that correctly shows which of the following ordered pairs is part of the solution set for the...Question
Question Select the option below that correctly shows which of the following ordered pairs is part of the solution set for the equation y=4x+2 .(1 point) Responses (3,45) left parenthesis 3 comma 45 right parenthesis (3,12) left parenthesis 3 comma 12 right parenthesis (3,14) left parenthesis 3 comma 14 right parenthesis (3,7)
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GPT-4o mini
To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we will substitute the \( x \) value from each ordered pair into the equation and check if the resulting \( y \) value matches the \( y \) value in the ordered pair.
1. For the pair \( (3, 45) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 45\text{)}
\]
2. For the pair \( (3, 12) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 12\text{)}
\]
3. For the pair \( (3, 14) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(this matches)}
\]
4. For the pair \( (3, 7) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 7\text{)}
\]
The only ordered pair that satisfies the equation \( y = 4x + 2 \) is \( (3, 14) \).
So the correct option is \( (3, 14) \).
1. For the pair \( (3, 45) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 45\text{)}
\]
2. For the pair \( (3, 12) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 12\text{)}
\]
3. For the pair \( (3, 14) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(this matches)}
\]
4. For the pair \( (3, 7) \):
\[
y = 4(3) + 2 = 12 + 2 = 14 \quad \text{(not } 7\text{)}
\]
The only ordered pair that satisfies the equation \( y = 4x + 2 \) is \( (3, 14) \).
So the correct option is \( (3, 14) \).
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