Answer:
Step-by-step explanation:
Domain is the independent variable (x)
Range is the dependent variable (y)
For each of these you would just put what x and y are equal to
For the Domain you would put:
0<=x<=3
<= is less than or equal to
For the Range you would put
1<=y<=4
The line is a function
Answer: The correct option is
(E) 80,000.
Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to
of its capacity, the tank was then at
of its capacity.
We are to find the number of gallons of water that the tank hold when filled to capacity.
Let the tank can hold x gallons of water when filled to capacity.
Then, according to the given information, we have
![\dfrac{3}{4}x+4000=\dfrac{4}{5}x\\\\\\\Rightarrow \dfrac{4}{5}x-\dfrac{3}{4}x=4000\\\\\\\Rightarrow \dfrac{16-15}{20}x=4000\\\\\Rightarrow x=4000\times20\\\\\Rightarrow x=80000.](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B4%7Dx%2B4000%3D%5Cdfrac%7B4%7D%7B5%7Dx%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B4%7D%7B5%7Dx-%5Cdfrac%7B3%7D%7B4%7Dx%3D4000%5C%5C%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B16-15%7D%7B20%7Dx%3D4000%5C%5C%5C%5C%5CRightarrow%20x%3D4000%5Ctimes20%5C%5C%5C%5C%5CRightarrow%20x%3D80000.)
Thus, the required capacity of the tank is 80,000 gallons of water.
Option (E) is CORRECT.
Answer:
1. you start with $ 3 and save $1 each month
2. your total savings is 3 times the number of month multiplied by itself
3. you save $3 the first month and then each month the amount triples
Step-by-step explanation:
1.
as y axis represents savings while x axis represents months
the statement "you start with $ 3 and save $1 each month"
is best described by the graph of straight line having slope of 1 and intercept of 3.
2. your total savings is 3 times the number of month multiplied by itself
= 3(x)(x)
= 3x^2
3. as y axis represents savings while x axis represents months
the statement "you save $3 the first month and then each month the amount triples" is best described by the exponential graph starting to rise from point (1,3) which means $3 save at 1 month.
!
Answer to 1st one is d bottom right
2nd is b top right