A: To find the rate in feet per minute, we can use the information given.
Every two minutes, the submarine dives 300 feet. So
![\frac{300feet}{2minutes} = 150 \frac{feet}{minute}](https://tex.z-dn.net/?f=%20%5Cfrac%7B300feet%7D%7B2minutes%7D%20%3D%20150%20%5Cfrac%7Bfeet%7D%7Bminute%7D%20)
.
In order to confirm that our rate is correct, we can use the second set of information given.
![\frac{6750feet}{45minutes}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6750feet%7D%7B45minutes%7D%20)
=
![150 \frac{feet}{minute}](https://tex.z-dn.net/?f=150%20%5Cfrac%7Bfeet%7D%7Bminute%7D%20)
.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
![y=150x](https://tex.z-dn.net/?f=y%3D150x)
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
For translations like this use the formula:
f(x) = (x - h)² + k
where h is the lateral movement/shifts on the x-axis and k is the vertical movement/shifts on the y-axis.
Since g(x) is a movement to the right 4 units and up 9 units, your h is a positive 4 and k is a 9:
g(x) = (x - 4)² + 9Here's a picture of your original graph f(x) and your translation g(x)
Answer:
(3, 7)
Step-by-step explanation: