Answer:
![\$400](https://tex.z-dn.net/?f=%5C%24400)
Step-by-step explanation:
GIVEN: A hotel charges a
annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for
nights.
SOLUTION:
Annual fee charged by hotel ![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
amount charged each night we stay there ![=\$200](https://tex.z-dn.net/?f=%3D%5C%24200)
Total number of nights we stay ![=50](https://tex.z-dn.net/?f=%3D50)
Total amount paid for
nights![=50\times\$200](https://tex.z-dn.net/?f=%3D50%5Ctimes%5C%24200)
![=\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000)
Total amount paid ![=\text{annual fee}+\text{total amount paid for 50 nights}](https://tex.z-dn.net/?f=%3D%5Ctext%7Bannual%20fee%7D%2B%5Ctext%7Btotal%20amount%20paid%20for%2050%20nights%7D)
![=\$10000+\$10000](https://tex.z-dn.net/?f=%3D%5C%2410000%2B%5C%2410000)
![=\$20000](https://tex.z-dn.net/?f=%3D%5C%2420000)
average cost per night ![=\frac{\text{total amount paid}}{\text{total number of nights of stay}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctext%7Btotal%20amount%20paid%7D%7D%7B%5Ctext%7Btotal%20number%20of%20nights%20of%20stay%7D%7D)
putting values,
average cost per night ![=\frac{20000}{50}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20000%7D%7B50%7D)
![=\$400](https://tex.z-dn.net/?f=%3D%5C%24400)
Hence average cost per night if we stay at hotel for
days is ![\$400](https://tex.z-dn.net/?f=%5C%24400)
That's the last one because you can factor to get
(x + 8)^2 = 36
(x + 8) = +/- 6
The correct answer is 180 degrees. Hope this helps!!!!
Answer:
The average rate of change is -3
Step-by-step explanation:
we have
![f(x)=-3x+1](https://tex.z-dn.net/?f=f%28x%29%3D-3x%2B1)
This is a linear function in slope intercept form ![f(x)=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb)
where
m is the slope
b is the y-intercept
In this problem
The slope is equal to
![m=-3](https://tex.z-dn.net/?f=m%3D-3)
Remember that
In a linear function the average rate of chance is a constant and is equal to the slope of the linear function in any interval
therefore
The average rate of change is -3