Question
If x value increases by 1 and y values by 3 what function does it show
Answers
GPT-4o mini
If the \( x \) value increases by 1 and the \( y \) value increases by 3, this indicates a linear relationship between \( x \) and \( y \).
In this case, we can express the relationship as:
\[
\Delta y = m \Delta x
\]
where \( m \) is the slope of the line. Since the change in \( y \) (\( \Delta y \)) is 3 when \( \Delta x = 1 \), we can find the slope \( m \):
\[
m = \frac{\Delta y}{\Delta x} = \frac{3}{1} = 3
\]
This means the function can be represented as:
\[
y = 3x + b
\]
where \( b \) is the y-intercept, which you'll need another point to determine. But in general, the linear function will be of the form \( y = 3x + b \).
In this case, we can express the relationship as:
\[
\Delta y = m \Delta x
\]
where \( m \) is the slope of the line. Since the change in \( y \) (\( \Delta y \)) is 3 when \( \Delta x = 1 \), we can find the slope \( m \):
\[
m = \frac{\Delta y}{\Delta x} = \frac{3}{1} = 3
\]
This means the function can be represented as:
\[
y = 3x + b
\]
where \( b \) is the y-intercept, which you'll need another point to determine. But in general, the linear function will be of the form \( y = 3x + b \).