MATH SOLVE

3 months ago

Q:
# the ticket gate at a haunted corn maze start with $80 in the cash box. they charge $8 per person write a recursive formula for the amount of money in the cash box after n peope paid

Accepted Solution

A:

Answer:The correct answer is aβ = aβββ + 8 when aβ = 80 and n β₯ 2Step-by-step explanation:1. Let's review all the information provided for solving this question:Amount of money in the cash box at the ticket gate when it opens = US$ 80Amount of money that every visitor to the haunted corn maze pays (ticket) = US$ 80Number of people paying the ticket to the haunted corn maze = nAmount of money in the cash box at any moment after the opening = x2. Let's write the recursive formula for the amount of money in the cash box (x)aβ = aβββ + 8 when aβ = 80 and n β₯ 2Let's prove it for n = 2, n= 3 and n = 4aβ = aβββ + 8 = aβ + 8 = 80 + 8 = 88aβ = aβββ + 8 = aβ + 8 = 88 + 8 = 96 aβ = aβββ + 8 = aβ + 8 = 96 + 8 = 104