Answer:
![f(x) = \dfrac{729}{3^x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7B729%7D%7B3%5Ex%7D)
Step-by-step explanation:
We are given the following in the question:
Number of schools in the starting of the competition = 729
Number of schools remaining after each round =
![\dfrac{1}{3}\text{ of the school in previous round}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Ctext%7B%20of%20the%20school%20in%20previous%20round%7D)
We have to model an exponential function to describe the number of school remaining after x rounds.
![F(x) = 729(\dfrac{1}{3})^x\\\\f(x) = \dfrac{729}{3^x}](https://tex.z-dn.net/?f=F%28x%29%20%3D%20729%28%5Cdfrac%7B1%7D%7B3%7D%29%5Ex%5C%5C%5C%5Cf%28x%29%20%3D%20%5Cdfrac%7B729%7D%7B3%5Ex%7D)
is the required function, where f(x) gives the number of school remaining after x rounds.
Answer:
Part A: Let the September price be x, then
1.2x = 1.5
x = 1.5/1.2 = 1.25
Therefore, September price is $1.25
Part B: In September, they earned 0.4 * 1.25 * 900 = $450
In October, they earned 0.4 * 1.5 * 700 = $420
Therefore, they earned more money in September.
Step-by-step explanation:
Length (L) = 2 · W
Width (W) = W
Area (A) = L · W
252 = (2W)(W)
252 = 2W²
126 = W²
11.2 ≈ W
L = 2 · W
= 2 · 11.2
= 22.4
Dimensions: 11.2 ft x 22.4 ft
Answer:
1. 28
2. 26
3. 29
4. 18
5. 32
6. 14
7. 3
8. left
Step-by-step explanation: