standard_description: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade 8.)
problem_activity: Task
At the beginning of January, Susita had some money in her checking account.  At the end of each month she deposits enough to double the amount currently in the account. However, she has a loan to pay off, requiring her to withdraw \$10 from the account monthly (immediately after her deposit).
Assuming January is the first month, write an equation that describes the amount of money in Susita’s account at the end of the $n^{\rm th}$ month, $S(n)$, in terms of the amount of money in Susita’s account at the end of the $(n-1)^{\rm th}$ month, $S(n-1)$.
At the end of May, Susita had \$2 left in the account.  How much did she have at the end of January?


aligns: no