Answer: 
Step-by-step explanation:
Given
Rectangle has an area of 
Suppose rectangle length and width are
and 
If each side is increased by 
Area becomes 
We can write

Substitute the value of width from (ii) in equation (i)

Width corresponding to these lengths

Therfore, we can write the length of the longer side is 
F(x) = 3x + 1.....this is the same as y = 3x + 1.
In y = mx + b form, which is what y = 3x + 1 is in, the rate of change (slope) is in the m position and the y int (the initial value) is in the b position.
y = mx + b
y = 3x + 1
ur rate of change (slope)...number in the m position = 3
ur initial value (y int)...number in the b position = 1
so rate of change = 3 and initial value = 1