Answer:
The correct option is D) 
Step-by-step explanation:
Consider the provided information.
People are entering a building at a rate modeled by f (t) people per hour and exiting the building at a rate modeled by g (t) people per hour,
The change of number of people in building is:
Where f(t) is people entering in building and g(t) is exiting from the building.
It is given that "The functions f and g are non negative and differentiable for all times t."
We need to find the the rate of change of the number of people in the building.
Differentiate the above function with respect to time:
![h'(x)=\frac{d}{dt}[f(t)-g(t)]](https://tex.z-dn.net/?f=h%27%28x%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bf%28t%29-g%28t%29%5D)
It is given that the rate of change of the number of people in the building is increasing at time t.
That means 
Therefore, 
Hence, the correct option is D)
The answer is A because the two lines are equal
Answer:
y=4x+1
Step-by-step explanation:
to find the slope (m) you have to calculate what rise over run is for you table, in this table rise (y values) go up by 4 every time. so thats the numerator for your slope. the run is how much the x value goes up everytime, it goes up by 1 so the denomenator is 1, this simplifies to 4 so m= 4. the y intercept (b) is the y point where x equals zero so it is 1. x and y are simply variables used when graphing so they have no set values.
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
B
Step-by-step explanation:
because look at the chart sideways.
