To represent Neil's savings account situation with a table, we will calculate the amount in the account after 0, 1, 2, and 3 months. Since he starts with \(250\) dollars and spends \(25\) dollars each month, we can fill in the table as follows:
- After \(0\) months: \(250\) dollars (initial amount)
- After \(1\) month: \(250 - 25 \times 1 = 250 - 25 = 225\) dollars
- After \(2\) months: \(250 - 25 \times 2 = 250 - 50 = 200\) dollars
- After \(3\) months: \(250 - 25 \times 3 = 250 - 75 = 175\) dollars
Now, we can fill in the table:
| Time in months | Number of dollars in the account | |----------------|----------------------------------| | 0 | 250 | | 1 | 225 | | 2 | 200 | | 3 | 175 |
Next, we can represent this situation with an equation. The amount in the account after \(t\) months can be represented by the equation:
\[ A(t) = 250 - 25t \]
Where \(A(t)\) is the amount in dollars in the account after \(t\) months.
Lastly, we can also graph this situation. The x-axis will represent the time in months, and the y-axis will represent the number of dollars in the account. The points to plot would be:
- (0, 250)
- (1, 225)
- (2, 200)
- (3, 175)
Connecting these points will show a linear decrease in the amount of money in Neil's savings account over time. The slope of the line would indicate the rate of spending, which is \( -25 \) dollars per month.