Asp amy has $30 to spend on snacks and beverages for herself and her friends at the movie theater. the cost for nachos was $5. the cost for each beverage was half the cost of the nachos. (a) sketch a graph that represents this situation and label the intercepts. use one axis to represent the number nachos and the other axis to represent the number of beverages. (b) explain your graph.

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hello,

, see the attached files.

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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

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step-by-step explanation:

(apex)