Zara opens a savings account with 15 dollars she got for her graduation. Every month, Zara 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

To represent Zara's savings account situation, we can fill in a table showing the amount of money in the account after 0, 1, 2, and 3 months.

Zara starts with 15 dollars and adds 30 dollars each month. We can calculate the amount for each month as follows:

• Month 0: Starting amount = $15
• Month 1: Amount = $15 + $30*1 = $15 + $30 = $45
• Month 2: Amount = $15 + $30*2 = $15 + $60 = $75
• Month 3: Amount = $15 + $30*3 = $15 + $90 = $105

Here is the completed table:

| Time in months | Dollars in the savings account | |----------------|-------------------------------| | 0 | 15 | | 1 | 45 | | 2 | 75 | | 3 | 105 |

Next, we can represent this situation with a graph and an equation.

1. Equation: The equation that represents the amount \( A \) in the savings account after \( t \) months is: \[ A = 15 + 30t \]

2. Graph: To plot the graph, you would set up the x-axis with "Time in months" and the y-axis with "Dollars in the savings account". You would plot the following points based on the table:

• (0, 15)
• (1, 45)
• (2, 75)
• (3, 105)

This would show a linear relationship where each month, the amount in the account increases steadily based on the monthly contribution of 30 dollars, starting from an initial 15 dollars.

If you wish to see a graphical representation, you could use graphing software or graph by hand to plot these points and draw a straight line through them.