If it cost [tex]$\$3$[/tex] to fill a gas tank in 1970, how much of the same tank could be filled with [tex]$\$3$[/tex] in 2000?

Average Gasoline Prices (per gallon):

[tex]
\[
\begin{array}{|l|c|c|c|}
\hline
\text{Year} & \text{Price} & \begin{array}{c}
\text{Price as a Percentage} \\
\text{of 1980 Price}
\end{array} & \begin{array}{c}
\text{Price Index} \\
(1980=100)
\end{array} \\
\hline
1960 & \$0.31 & 25.4\% & 25.4 \\
1970 & \$0.36 & 29.5\% & 29.5 \\
1980 & \$1.22 & 100.0\% & 100.0 \\
1990 & \$1.23 & 100.8\% & 100.8 \\
2000 & \$1.56 & 127.9\% & 127.9 \\
2010 & \$2.84 & 232.8\% & 232.8 \\
\hline
\end{array}
\]
[/tex]

About [tex]$\square$[/tex] of the same tank could be filled.
(Type an integer or decimal rounded to two decimal places as needed.)

To solve this question, let’s calculate how much of the same tank could be filled in the year 2000 with [tex]$3, compared to 1970.

1. Determine the Price Per Gallon for Each Year:
- In 1970, the cost of gasoline was $[/tex]0.36 per gallon.
- In 2000, it was [tex]$1.56 per gallon.

2. Calculate How Many Gallons $[/tex]3 Could Buy in Each Year:
- For 1970: Divide [tex]$3 by the price per gallon in 1970.
\[
\frac{3}{0.36} = 8.33\ \text{gallons}
\]
- For 2000: Divide $[/tex]3 by the price per gallon in 2000.
[tex]\[
\frac{3}{1.56} = 1.92\ \text{gallons}
\][/tex]

3. Determine the Proportion of the Tank Filled:
- Find the ratio of how much of the tank could be filled in 2000 compared to 1970.
[tex]\[
\frac{1.92}{8.33} \approx 0.23
\][/tex]

So, with [tex]$3 in 2000, you could fill about 0.23 (or 23%) of the same tank that you could fill with $[/tex]3 in 1970.