An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

Exponential decay functions have a base between 0 and 1.
Check the base of each given function.
y = 5 ( 4 ) x has a base of 4, which is greater than 1.
Therefore, y = 5 ( 4 ) x does not represent exponential decay. y = 5 ( 4 ) x ​

Explanation

Analyzing the Problem We are given four functions and need to identify the one that does not represent exponential decay. An exponential decay function has the form y = a " , " b x , where 0 < b < 1 . Let's examine each function.

Checking Each Function

y = 5 ( 0.4 ) x : The base is 0.4, which is between 0 and 1. This represents exponential decay.

y = 5 ( 4 ) x : The base is 4, which is greater than 1. This represents exponential growth.

y = 0.4 ( 0.5 ) x : The base is 0.5, which is between 0 and 1. This represents exponential decay.

y = 4 ( 0.5 ) x : The base is 0.5, which is between 0 and 1. This represents exponential decay.

Identifying the Non-Decay Function The function that does not represent exponential decay is y = 5 ( 4 ) x because its base is greater than 1.


Examples
Exponential decay is a concept used to model various real-world phenomena, such as the decrease in the value of a car over time or the decay of radioactive substances. For example, if a car's value decreases by 15% each year, we can model its value using an exponential decay function. Understanding exponential decay helps in making informed decisions about investments, predicting the lifespan of products, and managing resources effectively.

Answered by GinnyAnswer | 2025-07-08

A device delivering a current of 15.0 A for 30 seconds allows about 2.81 × 1 0 21 electrons to flow through it. This is calculated by determining the total charge in Coulombs and dividing it by the charge of a single electron. Hence, the number of electrons flowing is approximately 2.81 trillion trillion electrons.
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Answered by Anonymous | 2025-08-04