An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Determine the number of paying people by subtracting the 3 birthday girls from the total number of attendees: n − 3 .
Calculate the cost per paying person by dividing the total venue cost ( $200 ) by the number of paying people ( n − 3 ).
Express the cost per paying person as a function: C = n − 3 200 .
The function to find the cost per person paying is C = n − 3 200 .
Explanation
Problem Analysis Let's analyze the problem. Marisa is organizing an event with a fixed venue cost of $200 . The total number of attendees is n , but the 3 birthday girls don't pay. We need to determine the cost per paying person, C .
Number of Paying People To find the cost per paying person, we first need to determine the number of paying people. Since there are n total people and 3 birthday girls who don't pay, the number of paying people is n − 3 .
Cost per Paying Person Now, we can calculate the cost per paying person by dividing the total cost of the venue by the number of paying people. This gives us the function: C = n − 3 200
Final Answer Therefore, the function that represents the cost per person paying is C = n − 3 200 .
Examples
Imagine you're planning a pizza party for your class. The total cost for the pizzas is $50 , and you know that 5 students won't be able to pay. If there are 30 students in the class, you can use the function C = n − 5 50 to calculate the cost each of the paying students needs to contribute. In this case, n = 30 , so C = 30 − 5 50 = 25 50 = $2 . Each paying student would need to pay $2 . This kind of calculation is useful for fairly distributing costs in group activities or events.
