A biologist tracks the number of bacteria living in a water tank. The biologist used a function that represents the amount of a
certain chemical solution that is added to the water. When the water has no chemicals, the number of bacteria (b) is 1200 per gallon.
For each tablespoon of the chemical solution (c) added to each gallon of water, the number of bacteria decreases by 75 per gallon.
How much of the chemical, in tablespoons, must be added to a 500-gallon tank to reduce the bacteria count to a safe 300 bacteria per gallon?
The equation that would best represent this biological scenario is, N = 1200x - 75cx where N is the number of bacteria, x is the number of gallon and c is the amount of chemical solution in tablespoon.
Calculating for the number of bacteria in situation 2. 300(500) = (1200)(500) - (75)(500)(c) The value of c from the equation is 12 tablespoons.
This is the concept algebra. Volume of of paint that is required to paint large shipping crate is a liters. suppose the volume of this crate is x cubic units. The volume of the next crate to be painted will be 2x cubic units. Hence the amount of paint required to paint the crate will be: (volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate) =(2x)/(x)×a =2a liters To paint the new crate 2a liters of oil is needed.
