Final answer:
Amelia needs to make 21 weekly deposits of $20 to reach or exceed her savings goal of $475. This assumes a starting balance of $60. Since 21 is not an answer option provided, there might be an error in the question or answer choices.
Step-by-step explanation:
To determine how many deposits Amelia needs to make until her savings account balance reaches at least $475, let us calculate with her starting balance of $60. Since Amelia plans to deposit $20 each week, the total amount she will have after a certain number of weeks can be represented by the equation:
total amount = (initial balance) + (number of deposits) × (amount per deposit).
Let's represent the number of deposits by 'd'. The equation for Amelia's total savings becomes:
$60 + $20 × d ≥ $475.
Solving for 'd' gives us:
$20 × d ≥ $475 - $60,
d ≥ $415/$20,
d ≥ 20.75.
Since Amelia can't make a fraction of a deposit, we round up to the next whole number. Therefore, Amelia needs to make 21 deposits to meet or exceed her goal. However, since 21 is not an option in the multiple-choice answers provided, we need to verify our understanding of the question. If 21 is in fact the correct answer, then there may be a mistake in the question or the provided answer options.