## the cost of renting a kayak for one hour is $23. Each additional hour is 8$ more. Write an explicit formula and recursive formula to represe

Question

the cost of renting a kayak for one hour is $23. Each additional hour is 8$ more. Write an explicit formula and recursive formula to represent the situation.

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1 week 2021-10-12T09:04:44+00:00 2 Answers 0

1. Explicit formula Recursive formula To solve this problem we have to use an arithmetic sequence. The cost of renting a kayak for 1 hour is $23, each additional hour is$8 more. So, the first element of the secuence will be 23 for one hour, then each addittional hour will be 23 + 8, making the secuence:

{23, 31, 39, 47, 55,…..,n}

Writing a recursive formula of the form where is the nth term, n the number of terms, and d the common difference in the secuence.

The common difference of the secuence {23, 31, 39, 47, 55,…..,n}. So, the first term is , and the common diffenece is d = 8 which is the difference between each term. Writing a explicit formula of the form where where is the nth term, n the number of terms, the first term of the secuence, and d the common difference in the secuence.

With , and d = 8:   2. X= 23+8y
X represents the total
23 represents the base price
8 represents the price per extra hour
Y represents how many hours extra