To solve this problem, we need to determine the cost per movie ticket using the given information and then use this information to find the total cost for different numbers of tickets. Here's the step-by-step process:
1. Determine the cost per ticket:
- We know the cost of 3 tickets is \[tex]$28.50.
- Therefore, the cost per ticket can be calculated as:
\[
\text{Cost per ticket} = \frac{28.50}{3} = \$[/tex]9.50
\]
2. Calculate the total cost for 7 tickets:
- Using the cost per ticket found above, we calculate:
[tex]\[
\text{Total cost for 7 tickets} = 7 \times 9.50 = \$66.50
\][/tex]
3. Calculate the total cost for 12 tickets:
- Again, using the cost per ticket, we calculate:
[tex]\[
\text{Total cost for 12 tickets} = 12 \times 9.50 = \$114.00
\][/tex]
4. Calculate the total cost for 15 tickets:
- Finally, we calculate the cost for 15 tickets:
[tex]\[
\text{Total cost for 15 tickets} = 15 \times 9.50 = \$142.50
\][/tex]
So, the completed table representing the relationship between the number of movie tickets and the total cost is:
[tex]\[
\begin{array}{|c|c|}
\hline \text{Number of Movie Tickets} & \text{Total Cost (\$)} \\
\hline 7 & 66.50 \\
\hline 12 & 114.00 \\
\hline 15 & 142.50 \\
\hline
\end{array}
\][/tex]
