A babysitter has $1,225 in a bank account and earns $52 per week babysitting. The function T(w)=52w+1,225 represents the total amount of money in the bank account after w weeks of babysitting. The babysitter deposits a birthday gift of $75 into the bank, and N(w)=T(w)+75 models the new balance of the bank account. Which statement is true?