To determine the total cost [tex]\( y \)[/tex] for each month [tex]\( x \)[/tex], we can use the given information about the one-time membership fee and the monthly dues.
Here's the step-by-step process:
1. Understand the components of the cost:
- One-time membership fee: \[tex]$150
- Monthly dues: \$[/tex]65 per month
2. Calculate the total cost for each month:
- For month 0: The total cost is just the one-time membership fee, as no monthly dues apply yet.
- For month 1: The total cost is the one-time membership fee plus one month of dues.
- For month 2: The total cost is the one-time membership fee plus two months of dues.
- For month 3: The total cost is the one-time membership fee plus three months of dues.
3. Use the formula to calculate the total cost:
[tex]\[
\text{Total Cost} = \text{Membership Fee} + (\text{Monthly Dues} \times \text{Number of Months})
\][/tex]
Plugging in the values:
- For month 0: [tex]\( 150 + (65 \times 0) = 150 \)[/tex]
- For month 1: [tex]\( 150 + (65 \times 1) = 215 \)[/tex]
- For month 2: [tex]\( 150 + (65 \times 2) = 280 \)[/tex]
- For month 3: [tex]\( 150 + (65 \times 3) = 345 \)[/tex]
Now, we can complete the table:
\begin{tabular}{|l|l|l|l|l|}
\hline Month, x & 0 & 1 & 2 & 3 \\
\hline Total Cost, [tex]$y$[/tex] & 150 & 215 & 280 & 345 \\
\hline
\end{tabular}
So, the total costs for months 0, 1, 2, and 3 are \[tex]$150, \$[/tex]215, \[tex]$280, and \$[/tex]345 respectively.
