Under ideal conditions a certain bacteria population doubles every three hours. Initially there are 1000 bacteria in a colony. a. Find a model for the bacteria population after t hours. b. How many bacteria are in the colony after 15 hours?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
B. Solve for what is asked in each problem. Show complete and systematic solutions in connection with equation growth and decay.
1. Under ideal conditions a certain bacteria population doubles every three hours. Initially
there are 1000 bacteria in a colony.
a. Find a model for the bacteria population after t hours.
b. How many bacteria are in the colony after 15 hours?
2. A small locality has a population of 52,365 in 2012. If its population increases 3% every 2
years,
a. Derive a function P that determines the population t years after 2012.
b. What is the expected population in 2020?
3. A man invests ₱250,000 in an account that pays 8.5% interest per year, compounded
annually. Find the final amount after 3 years.
4. An unknown radioactive element decreases 12% of its amount every 5 days. What is
exponential function ? that describes the amount left after t days? If there are 300g of the
substance at present, how much is left after 30 days? (round off the value up to two decimal
places)
5. Fifty percent of the amount of a certain drug is eliminated from the body every hour. A
500mg drug was taken by a patient. Formulate a function D that determines the remaining
amount of the drug after t hours. How many hours had passed if only 15.625grams of the
substance is left? (Hint: you may use the idea of exponential equation in solving the
problem)
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
