Jenna receives a piggy bank containing 8 dollars for her birthday. Every week, Jenna adds 4 dollars to the piggy bank. 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 piggy bank after 0, 1, 2, and 3 weeks.
Time in weeks Dollars in the piggy bank
0
1
2
3

Answer 1

To represent Jenna's savings in the piggy bank over time, we can fill in the table based on the information given. Initially, Jenna has 8 dollars, and she adds 4 dollars each week.

We can calculate the amount in the piggy bank for each week as follows:

• At week 0: Jenna has 8 dollars.
• At week 1: Jenna will have \(8 + 4 \times 1 = 8 + 4 = 12\) dollars.
• At week 2: Jenna will have \(8 + 4 \times 2 = 8 + 8 = 16\) dollars.
• At week 3: Jenna will have \(8 + 4 \times 3 = 8 + 12 = 20\) dollars.

Now, we can fill in the table:

| Time in weeks | Dollars in the piggy bank | |---------------|---------------------------| | 0 | 8 | | 1 | 12 | | 2 | 16 | | 3 | 20 |

Next, we can use this information to create a graph, and we can derive an equation to represent this situation.

The relationship can be expressed with the equation: \[ D = 8 + 4t \] where \( D \) is the dollars in the piggy bank, and \( t \) is the number of weeks.

Would you like assistance with creating the graph as well?