Answer:
Option B:
Step-by-step explanation:
A function is said to be increasing if it has a slope greater than 0.
The function with the largest slope has the highest increasing rate.
Here, for the graph in option A, the function is decreasing with increasing . So, it has a negative slope.
We need to convert equation of option B into standard form and then determine its slope.
The standard form of a straight line is , where
is the slope of the line and
is the y-intercept.
Now, given function is:
Therefore, the slope is 2.
Option C:
Slope is given as,
Therefore, the slope is 1.
Option D:
Equation of a line with and
as
and
intercepts is given as,
Here, and
∴
Therefore, the slope is .
Hence, the largest slope is for option B and thereby the highest increasing rate.