Final answer:
Nick will take 30 weeks to save $500.
Step-by-step explanation:
To solve this problem, we can let the variable 'x' represent the number of weeks it will take for Nick to save $500.
Initially, Nick has $50 in his savings account. Every week, he deposits an additional $15. So, after 'x' weeks, the total amount in his account will be $50 + $15x.
Since he wants to have $500 in his account, we can set up the equation $50 + $15x = $500.
To solve for 'x', we can start by subtracting $50 from both sides of the equation: $15x = $500 - $50 = $450.
Then, we divide both sides of the equation by $15 to isolate 'x': x = $450 / $15 = 30.
Therefore, it will take Nick 30 weeks to save $500.
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