Now, if it is required to calculate the amount of drug left in the person’s body after 5 hours, one can simply use the exponential decay function because the drug dissolves consistently at a constant rate. The initial amount of the drug present in the person’s blood is 250 mg, and it gets dissolved at a rate of 3 mg per hour. Let us say if a person is injected with a certain drug. The concept of exponential decay is also used in calculating the amount of drug remaining in a person’s body after a certain duration of time. Calculating the amount of drug in a person’s body Radiocarbon dating also helps the researchers to estimate the time when an ancient artefact was built.ħ. The process of radiocarbon dating highly depends on the radioactive decay of the isotopes of radioactive elements, hence forms a prominent example of exponential decay in real life. It compares the ratio of the two isotopes of carbon present in the organic matter or fossil with the ratio of the same isotopes present in the air. It is used to calculate the approximate date and time when a plant or an animal would have died. Radiocarbon dating was discovered by an American physical chemist Willard Libby in 1949, who later won a Nobel Prize for his discovery in 1960. Plotting a graph of the number of candies consumed with respect to the number of days gives a negative slope graph that gradually decreases and gets flattened while reaching the end. If the child continues to follow such a pattern of consuming candies, he/she tends to display an exponential decay in real life. On the third day, he/she eats 15 candies, and so on. The next day, the child consumes 30 candies. On the first day, the child consumes half of the total candies, i.e., 60 candies.
For instance, suppose the bag consists of 120 candies. In such a case, exponential decay can be observed easily. He/she wishes to eat the half of candies present in the bag every day. Hence, it is yet another example of exponential decay observed in real life. The number of microbes present in the body is reduced, following an exponential pattern. These drugs and medicines primarily affect the life of the microorganisms present inside the body responsible for the disease by refraining them to undergo reproduction and killing them. When a person who is suffering from a bacterial or viral disease visits a doctor to receive treatment, the doctor tends to provide him with certain antibiotic drugs and medicines. The decrease in the human population is yet another example of exponential decay in real life. This helps the environment engineers compute and take preventive measures to save the species from getting extinct. For instance, if a certain species of birds are getting extinct at a rate of 3% per decade, then the concept of exponential decay can be implemented to the current data, and the year by which the entire species is about to vanish thoroughly can be estimated in advance. The concept of exponential decay is used to keep a track record of the population of the species that are on the verge of extinction. If a person has an intention to resell his car or other valuable objects at a good price he/she must keep a record of the deteriorating value of the object.
The concept of exponential decay can be used by the consumer to get a rough estimation of the most suited time to resell his/her object. Since the cost reduces gradually at a consistent rate, it clearly represents the exponential decay. During the second year, the newly obtained cost acts as the original cost that gets depreciated with the same constant percentage by the end of the year. During the first year, the original cost of the product gets depreciated by a constant percentage and the depreciated new cost of the car is known by the end of the year. The reselling cost of a car or any other product deteriorates with every passing year. If a graph of the radioactivity of such a substance is plotted with respect to time, it has a negative slope that reduces gradually and gets flattened at the end, which clearly resembles the exponential decay graph. Let us assume, if the substance has a half-life of one week, i.e., if the radioactivity of a particular substance reduces to half of its original value on the last day of every passing week, it is said to be exhibiting decay as an exponential function.
Radioactive decay of the isotopes of radioactive elements is a prominent example of exponential decay in real life.
Calculating the amount of drug in a person’s bodyĮxamples of Exponential Decay 1.
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