Final answer:
Option A). After substituting n with 5 in the function A(n) = 200 - 7n, the calculation shows that there will be $165 left in the account, corresponding to option A).
Step-by-step explanation:
The function given is A(n) = 200 - 7n, which represents the amount of money left in an account after purchasing n lattes. To find out how much money will be left after purchasing 5 lattes, we substitute n with 5:
A(5) = 200 - 7(5)
A(5) = 200 - 35
A(5) = $165
Therefore, after purchasing 5 lattes, there will be $165 left in the account. Hence, option A) is the correct answer.