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Tim and Jill each have a piggy bank. Tim starts with 1.25 in his bank and puts .50 each week. Jill starts with 2.75 in her bank and also puts .50 each week. Show which numbers should be put on the table.

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Answer:

For Tim, we initially have y = 1.25, and for each week we ad 0.50.

So if w is the number of weeks, we can model his savings as:

T(w) = 1.25 + 0.50*w

For Jill we initially have y = 2.75, and for each week she adds 0.50

So her equation is:

J(w) = 2.75 + 0.50*w

so we can construct a table by giving different values of w.

[tex]\left[\begin{array}{ccc}w&T(w)&J(w)\\0&1.25&2.75\\1&1.75&3.25\\2&2.25&3.75\\3&2.75&4.25\end{array}\right][/tex]

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