The y-value is 5 more than 3 times the x-value. Which answer?
1. y=3x+5
2. y=-3x+5
3. y=-3x-5
4. y=3x-5
To determine the correct answer, let's analyze the given information.
The statement says, "The y-value is 5 more than 3 times the x-value."
In mathematical terms, this can be written as:
y = 3x + 5
Now let's compare this equation with the options given:
1. y = 3x + 5 - This matches the equation we derived from the statement, so it is a possible answer.
2. y = -3x + 5 - This equation has a negative coefficient for the x-term, which contradicts the statement. Thus, it is not the correct answer.
3. y = -3x - 5 - This equation has a negative coefficient for both the x-term and the constant term, which also contradicts the statement. So, it is not the correct answer.
4. y = 3x - 5 - This equation has the correct coefficient for the x-term but has a negative constant term, which contradicts the statement. Therefore, it is not the correct answer.
Based on our analysis, the correct answer is option 1: y = 3x + 5.