Answer:
Function 2
Step-by-step explanation:
The slope m is a measure of the rate of change.
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Change both functions into this form
- 2x + 5y = 10 ( add 2x to both sides )
5y = 2x + 10 ( divide all terms by 5 )
y = [tex]\frac{2}{5}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex]
- 6x + 3y = 18 ( add 6x to both sides )
3y = 6x + 18 ( divide all terms by 3 )
y = 2x + 6 ← in slope- intercept form
with slope m = 2
Now 2 > [tex]\frac{2}{5}[/tex]
Thus Function 2 has the greater rate of change
