Final answer:
The slope of the linear relationship describing Fred's weekly deposits into his bank account is $30 per week, which represents the amount his account balance increases each week.
Step-by-step explanation:
The question from the student involves finding the slope of the linear relationship described by the weekly deposits into Fred's bank account. The slope in this context represents the rate of change of the account balance over time, specifically, how much the balance increases each week.
Since Fred's bank account initially contains $120 and he is depositing $30 every week, the amount in the account is increasing by $30 each week. Therefore, the slope of this linear relationship is simply $30 per week.
It is important to note that the slope here is constant, meaning it does not change with time, unlike compound interest situations where the added amount might change due to interest being a percentage of the total balance in the account.