Select all the correct answers.

The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?

\begin{tabular}{|c|c|}
\hline
Month & Balance \\
\hline
1 & \[tex]$400 \\
\hline
3 & \$[/tex]1,200 \\
\hline
7 & \[tex]$2,800 \\
\hline
9 & \$[/tex]3,600 \\
\hline
13 & \[tex]$5,200 \\
\hline
\end{tabular}

A. (22, \$[/tex]8,400)
B. (23, \[tex]$9,200)
C. (24, \$[/tex]8,800)
D. (26, \[tex]$10,400)
E. (27, \$[/tex]10,600)



Answer :

To determine which points will lie on the line defined by Steven's monthly balances, we can analyze the given data from the table and check the points accordingly.

First, let's list the given data points:
- (1, 400)
- (3, 1200)
- (7, 2800)
- (9, 3600)
- (13, 5200)

We need to determine whether the following points will lie on the straight line formed by these data points:
- (22, 8400)
- (23, 9200)
- (24, 8800)
- (26, 10400)
- (27, 10600)

By analyzing the data points with respect to the given dataset, you'll find that the points (23, 9200) and (26, 10400) lie on the line formed by Steven's monthly balances.

Thus, the correct answers are:
- (23, 9200)
- (26, 10400)