3 gallons of acid = 100% concentration acid
? (water+acid) gallons = 15 concentration acid
Note: Every gallon of water added reduces the percentage concentration of acid. Therefore, the relationship is inverse proportionality.
Solution:
Total number of gallons (water+acid) = (3*100)/15 = 20 gallons
Therefore, gallons of water = 20-3 = 17 gallons
4 quarts = 1 gallon, so 14 gal is equal to 56 quarts. So 56 quarts per second, times 60 seconds equals 3360 quarts per minute. Hope this helped!
Exponential Growth
Some real-life events grow in such a way that they can be modeled as an exponential function, given as:
Where C(t) is the future value of the measured variable, Co is its initial value, r is the growth rate and t is the time.
We are given the following data:
Initial amount: Co=40 bacteria
Growth rate: 1 + r = 3
The bacteria triples every 4 days, thus t is the number of periods of 4 days.
Thus the model is:
We can solve the equation
1 + r = 3
And get r = 2. Rewriting the equation:
We are required to find the number of bacteria after 20 days, that is, after 20/4 = 5 periods of 4 days. Substituting:
Calculating:
The colony would have 9,720 bacteria after 20 days
I'm assuming you're looking for an equation so this is what it would look like: (k=kakapo, e=emu)
5k-70=e