Answer:
y = 100 2^h
Step-by-step explanation:
The formula for growth is given by
y = ab^x
where a is the initial value and b is the growth rate
a = 100
b = 2 since we are doubling
x is the amount of time = h
y = 100 2^h
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons
b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
6000=300t^2
this can be simplified to
20=t^2
t^2-20=0
solving this we get:
t=-2√5 or 2√5
the time taken for the tank to be empty will be t=2√5 hours=5.4721 hours
Answer:
C) 4
Step-by-step explanation:
Given equation:
The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em>
</em>
<em>where 
represents constant of proportionality.</em>
So, in order to find the value of for the given proportionality relationship, we will solve for 
We have:
Solving for
Dividing both sides by 2.
∴ 
Thus, the constant of proportionality = 4.
Answer: The answer is about 56%
Step-by-step explanation:
15 because 10x4 is 40 divided by 2 is 20 and 20-5 =15
