Lydia opens a savings account with 15 dollars she got for her graduation. Every month, Lydia adds 30 dollars to the account. Represent this situation with a table, a graph, and an equation.

Question

Let’s start by representing this situation with a table. Start by finding the amount in the savings account after 0, 1, 2, and 3 months.
Time in months Dollars in the savings account
0
1
2
3

Answer 1

Let's calculate the amount in Lydia's savings account for each of the specified months.

• Initial amount (at month 0): $15
• Monthly addition: $30

Now, let's fill in the table with the total amount in the savings account at the end of each month.

\[ \begin{array}{|c|c|} \hline \text{Time in months} & \text{Dollars in the savings account} \ \hline 0 & 15 \ 1 & 15 + 30 \cdot 1 = 45 \ 2 & 15 + 30 \cdot 2 = 75 \ 3 & 15 + 30 \cdot 3 = 105 \ \hline \end{array} \]

So, the completed table is:

\[ \begin{array}{|c|c|} \hline \text{Time in months} & \text{Dollars in the savings account} \ \hline 0 & 15 \ 1 & 45 \ 2 & 75 \ 3 & 105 \ \hline \end{array} \]