A barangay has 1,000 individuals and its population doubles every 60 years. Give an exponential model for the barangay. What is the barangay’s population in 10 years?
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.
Example: Robert invested P30,000 after graduation. If the average interest rate is 5.8% compounded annually, (a) give an exponential model for the situation, and (b) will the money be doubled in 15 years?
Solution.
(a) At t = 0, the amount is P30,000.
At t = 1, the amount is P30,000(1.058) = P31,740.
At t = 2, the amount is P30,000(1.058)2 = P33,580.92
At t = 3, the amount is P30,000(1.058)3 = P35,528.61.
An exponential model for this situation is y = 30000 (1.058)t
(b) If t = 15, then y = 69,888.59. The money has more than doubled in 15 years.
Representing Real-life Situations Using Exponential Functions
ANSWER THE FOLLOWING SHOW YOUR SOLUTIONS
1. A barangay has 1,000 individuals and its population doubles every 60 years. Give an exponential model for the barangay. What is the barangay’s population in 10 years?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
