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At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at the bank. As the school year starts, Caitlin is going to deposit another $5 each week from her allowance. Is her account balance proportional to the number of weeks of deposits? Explain your reasoning.

At the end of the summer Caitlin had saved 120 from her summer job This was her initial deposit into a new savings account at the bank As the school year starts class=

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musiclover10045

Let X be the number of weeks she deposits money.

The equation to solve for the account balance would be 120 + 5x ( She started with 120 dollars and is adding 5 dollars per week)


week 1: balance = 120 +5(1) = $125

week 2: balance = 120 +5(2) = $130

week 3: balance = 120 + 5(3) = $135

week 4: balance = 120 +5(4) = $140


Now to see if it proportional divide each total by the number of weeks:

week 1: 125 / 1 = 125

week 2: 130 / 2 = 65

week 3: 135 / 3 = 45

week 4: 140 / 4 = 35

Find the difference between the weeks:

Week 1 & 2 : 125 - 65 = 60

Week 2 & 3: 65 -45 - 20

Week 3 & 4: 45 -35 = 10


Since the 3 differences are not the same, the balance is not proportional to the number of weeks.



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