Sure, let's go through the solution step-by-step:
1. Given Data:
- The cost per gallon of gasoline is [tex]$2.
- We have the following table with quantities (in gallons), prices, and total revenue:
\[
\begin{array}{|c|c|c|}
\hline
\text{Quantity (in gallons)} & \text{Price} & \text{Total Revenue} \\
\hline
0 & \$[/tex]8 & \[tex]$0 \\
5 & \$[/tex]7 & \[tex]$35 \\
10 & \$[/tex]6 & \[tex]$60 \\
15 & \$[/tex]5 & \[tex]$75 \\
20 & \$[/tex]4 & \[tex]$80 \\
25 & \$[/tex]3 & \[tex]$60 \\
30 & \$[/tex]2 & \[tex]$35 \\
35 & \$[/tex]0 & \[tex]$0 \\
\hline
\end{array}
\]
2. Calculate Total Cost:
- The total cost for selling each quantity of gasoline can be calculated by multiplying the quantity by the cost per gallon.
For each quantity:
\[
\begin{align*}
\text{Total Cost for 0 gallons} &= 0 \times 2 = \$[/tex]0 \\
\text{Total Cost for 5 gallons} &= 5 \times 2 = \[tex]$10 \\
\text{Total Cost for 10 gallons} &= 10 \times 2 = \$[/tex]20 \\
\text{Total Cost for 15 gallons} &= 15 \times 2 = \[tex]$30 \\
\text{Total Cost for 20 gallons} &= 20 \times 2 = \$[/tex]40 \\
\text{Total Cost for 25 gallons} &= 25 \times 2 = \[tex]$50 \\
\text{Total Cost for 30 gallons} &= 30 \times 2 = \$[/tex]60 \\
\text{Total Cost for 35 gallons} &= 35 \times 2 = \[tex]$70 \\
\end{align*}
\]
3. Summarize the Result:
- Now let's summarize all the calculations:
\[
\begin{array}{|c|c|c|c|}
\hline
\text{Quantity (in gallons)} & \text{Price} & \text{Total Revenue (\$[/tex])} & \text{Total Cost (\$)} \\
\hline
0 & 8 & 0 & 0 \\
5 & 7 & 35 & 10 \\
10 & 6 & 60 & 20 \\
15 & 5 & 75 & 30 \\
20 & 4 & 80 & 40 \\
25 & 3 & 60 & 50 \\
30 & 2 & 35 & 60 \\
35 & 0 & 0 & 70 \\
\hline
\end{array}
\]
This table now includes the quantities, corresponding prices, total revenues, and total costs.
