Ava started with 90 dollars in her savings jar. Every week, Ava spends 9 dollars from her savings jar at the grocery store. 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 jar after 0, 1, 2 and 3 weeks.
Time in weeks Number of dollars in the savings jar
0
1
2
3

Answer 1

Let's calculate the amount Ava has in her savings jar after each week, starting with 90 dollars and decreasing by 9 dollars each week.

1. At 0 weeks: Ava starts with 90 dollars.
2. At 1 week: 90 - 9 = 81 dollars.
3. At 2 weeks: 81 - 9 = 72 dollars.
4. At 3 weeks: 72 - 9 = 63 dollars.

Now, we can fill in the table:

| Time in weeks | Number of dollars in the savings jar | |---------------|--------------------------------------| | 0 | 90 | | 1 | 81 | | 2 | 72 | | 3 | 63 |

Next, we can represent this situation with an equation. We can let \(x\) represent the number of weeks, and \(y\) represent the amount of money in the savings jar. The equation relating these variables is:

\[ y = 90 - 9x \]

Now, let's describe how we would create a graph.

1. Graph: The x-axis will represent the number of weeks (0, 1, 2, 3, ...) and the y-axis will represent the amount of money in the savings jar.
2. We would plot the points from our table: (0, 90), (1, 81), (2, 72), (3, 63).
3. Connect these points to show a linear decline, which indicates that the amount of money in the savings jar decreases consistently over the weeks.

This completes the representation of the situation with a table, a formula, and a description of how to create a graph.