To determine in which month Jordan will have saved enough money to buy the laptop, let’s use the given formula [tex]\( d = 80 + 75m \)[/tex] and the table format to calculate the total amount saved for each month until he has enough money.
First, let's complete the table with the given formula:
[tex]\[
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Amount Saved Over Several Months } \\
\hline Months $(m)$ & Total Saved in Dollars (d) \\
\hline 0 & 80 \\
\hline 1 & 155 \\
\hline 2 & 230 \\
\hline 3 & 305 \\
\hline 4 & 380 \\
\hline
\end{tabular}
\][/tex]
Now, let’s interpret the table:
- At month 0, Jordan has saved \[tex]$80.
- At month 1, Jordan has saved \$[/tex]155.
- At month 2, Jordan has saved \[tex]$230.
- At month 3, Jordan has saved \$[/tex]305.
- At month 4, Jordan has saved \[tex]$380.
Jordan needs \$[/tex]325 to buy the laptop. We need to find the first month in which the total amount saved is at least \[tex]$325:
- Month 0: \$[/tex]80 (not enough)
- Month 1: \[tex]$155 (not enough)
- Month 2: \$[/tex]230 (not enough)
- Month 3: \[tex]$305 (not enough)
- Month 4: \$[/tex]380 (enough)
From the calculations, it is evident that the first month in which Jordan will have saved enough money to buy the laptop is Month 4. Thus, the answer is:
Month 4.
