Ask Question
24 December, 00:09

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

+3
Answers (1)
  1. 24 December, 00:37
    0
    The correct answer is aₙ = aₙ₋₁ + 8 when a₁ = 80 and n ≥ 2

    Step-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$ 80

    Amount of money that every visitor to the haunted corn maze pays (ticket) = US$ 80

    Number of people paying the ticket to the haunted corn maze = n

    Amount of money in the cash box at any moment after the opening = x

    2. Let's write the recursive formula for the amount of money in the cash box (x)

    aₙ = aₙ₋₁ + 8 when a₁ = 80 and n ≥ 2

    Let's prove it for n = 2, n = 3 and n = 4

    a₂ = aₙ₋₁ + 8 = a₁ + 8 = 80 + 8 = 88

    a₃ = aₙ₋₁ + 8 = a₂ + 8 = 88 + 8 = 96

    a₄ = aₙ₋₁ + 8 = a₃ + 8 = 96 + 8 = 104
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers