Saving for a Trip
The function E(n)\displaystyle {E}{\left({n}\right)} represents Diamond's budgeted monthly expenses for the first half of the year 2013. In the table, n=1\displaystyle {n}={1} represents January 2013, n=2\displaystyle {n}={2} February 2013, and so on.

n\displaystyle {n}123456
E(n)\displaystyle {E}{\left({n}\right)}230322662290232723762303


The function I(n)\displaystyle {I}{\left({n}\right)} shown in the table below represents Diamond's monthly income for the first half of the year 2013. In the table, n=1\displaystyle {n}={1} represents January 2013, n=2\displaystyle {n}={2} February 2013, and so on.

n\displaystyle {n}123456
I(n)\displaystyle {I}{\left({n}\right)}330033003300330033003300

a) At the endof each month, Diamond puts any extra money into a savings account. The function S(n)\displaystyle {S}{\left({n}\right)} represents the amount of money she puts into savings each month. Using the information above, complete the following table for the function S(n)\displaystyle {S}{\left({n}\right)}.

n\displaystyle {n}1\displaystyle {1}2\displaystyle {2}3\displaystyle {3} 4\displaystyle {4}5\displaystyle {5}6\displaystyle {6}
S(n)\displaystyle {S}{\left({n}\right)}
b) Diamond's goal is to save enough money to take a trip to Hawaii in July, 2013. She estimates that the trip will cost $5100. Determine if Diamond has saved enough to go to Hawaii in July and use that information to complete the sentence below.

Diamond dollars.


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