An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
The total charge flowing through the device is 450 Coulombs after 30 seconds at a current of 15.0 A . This corresponds to approximately 2.81 × 1 0 21 electrons flowing through the device. The calculation involves understanding the relationship between current, charge, and the charge of an electron.
;
Calculate the value of 'a': a = 4 100% = 25% .
Calculate the value of 'b': b = 4 $3 , 200 = $800 .
Calculate the amount of ticket sales: Ticket Sales = 0.75 × $3 , 200 = $2 , 400 .
The amount of ticket sales is $2 , 400 .
Explanation
Understanding the Problem The drama club made a total revenue of $3,200 from their school play. We know that 75% of this revenue came from ticket sales. The provided model divides the total revenue into four equal parts, represented both as a percentage (a%) and a dollar amount ($b). Our goal is to find the values of 'a' and 'b' and then calculate the total amount of ticket sales.
Calculating the Value of a First, let's find the value of 'a'. Since the table divides the revenue into 4 equal parts, the total percentage (100%) is divided into 4 equal parts. Therefore, we can calculate 'a' as follows: a = 4 100% = 25% .
Calculating the Value of b Next, let's find the value of 'b'. The total revenue ($3,200) is divided into 4 equal parts. Therefore, we can calculate 'b' as follows: b = 4 $3 , 200 = $800 .
Calculating the Amount of Ticket Sales Now, let's calculate the amount of ticket sales. We know that 75% of the total revenue came from ticket sales. Therefore, we can calculate the ticket sales as follows: Ticket Sales = 0.75 × $3 , 200 = $2 , 400 .
Final Answer Therefore, the values of the variables are: a = 25 b = 800 The amount of ticket sales is $2,400.
Examples
Understanding percentages and proportions is crucial in many real-life scenarios, such as calculating discounts, understanding financial investments, or even figuring out how much of a recipe to make for a different number of people. In this case, the drama club's revenue calculation demonstrates how businesses track income and allocate resources. For instance, if a store offers a 20% discount on an item originally priced at $100, you would calculate the discount amount as 0.20 × $100 = $20 , and the final price would be $100 − $20 = $80 . These basic calculations are fundamental in everyday financial literacy.
