Answer: She needed 144 square feet of carpet.
Step-by-step explanation:
Given : Maria is buying new carpet. Her bedroom is in the shape of a square.
The length of each side is 12 feet.
We know that the area of square = 
So , the area of the bedroom =
[which is an exponential expression]
Simplify it
The area of the bedroom = 
Also, the carpet she needed = Area of the bedroom.
Thus , She needed 144 square feet of carpet.
Answer:
Part 1) The constant of variation is 
part 2) The equation is 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x -----> the number of square feet
y -----> the number of square yards
Three square yards are equivalent to 27 square feet
so
we have the point (27,3)
Part 1) What is the constant of variation?
The constant of variation or proportionality is equal to

substitute the values

Simplify

Part 2) What is the equation representing the direct variation?
we know that
substitute the value of k

Step-by-step explanation:
Difference per month = 28
=> January = February - 28 = 66-28 = 38
Answer:
The average rate of change is 1.275
Step-by-step explanation:
The average rate of change of f(x) from x=a to x=b is given by:

The money Terry invested is modeled by the function
where x represents number of days.
The average rate of change from day 2 to day 10 is given by:

The average rate of change becomes:

