The local water park is opening for the summer. They are selling adult tickets for $15 and child tickets for $8. The park can hold at most 500 people. To allow access for more children, the waterpark is limiting the number of adults to no more than 150. The waterpark is hoping to make at least $600 in ticket sales. How many adult tickets and how many child tickets should be sold to maximize the amount of money earned ?

, 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

the answer is 8.64

step-by-step explanation:

i'm not really sure how to answer that

step-by-step explanation: