In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
The average rate of a function f(x) over an interval x = a and x = b is given by:

Given the function

The average rate of change from x = 1 to x = 2 is given by:
Answer:
The answer to your question is: r = 0.1
Step-by-step explanation:
Data
P = $4500
A = $9000
t = 9 years
r = rate
Formula
![r = \sqrt[t]{\frac{A}{P}} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5Bt%5D%7B%5Cfrac%7BA%7D%7BP%7D%7D%20-%201%5C%5C)
Substitution
![r = \sqrt[9]{\frac{9000}{4500} - 1\\](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B%5Cfrac%7B9000%7D%7B4500%7D%20-%201%5C%5C)
Simplification
![r = \sqrt[9]{2} - 1](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B9%5D%7B2%7D%20-%201)
Result
r = 1.08 - 1
r = 0.08 ≈ 0.1
Answer:
slope=1/4
y-intercept=3
y=.25x+3
Step-by-step explanation:
slope=rise over run so
slope=1/4
y-intercept is the value of y where the line crosses the y axis..
y-intercept=3
In y=mx+b form m is slope and b is y-intercept so...
y=.25x+3
Less than 4 greater than 0