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The equation relating S to w is:
S = $550 + $70w
To find the total amount of money in the savings account after 14 weeks, we substitute w = 14 into the equation:
S = $550 + $70(14)
S = $550 + $980
S = $1,530
Therefore, the total amount of money in the savings account after 14 weeks is $1,530.