tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

The  average income:

The change rate on the average revenue:

when 81 bottles were produced , then the rate of change in average revenue

The average income  is decreasing at rate = $0.007 / bottle

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for