# Question d0038

Jul 18, 2016

$17 #### Explanation: Notice that the problem provides you with the price of gasoline in dollars per liter, $\text{$/L}$, but that the volume of the gas tank is given to you in gallons, $\text{gal}$.

To find the price of a a full tank of gasoline, you must use a conversion factor to take you from liters to gallons. More specifically, you must use

$\textcolor{p u r p \le}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\text{1 gal " ~~ " 3.7854 L}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

Convert the volume of the gas tank first

14 color(red)(cancel(color(black)("gal"))) * "3.7854 L"/(1color(red)(cancel(color(black)("gal")))) = "52.996 L"

Now, you know that you must pay $\text{$0.325}$for every liter of gasoline that you purchase, which means that $\text{52.996 L}$will cost you 52.996 color(red)(cancel(color(black)("L gasoline"))) * "$0.325"/(1color(red)(cancel(color(black)("L gasoline")))) = $17.224 Rounded to two sig figs, the number of sig figs you have for the volume of the gas tank, the answer will be "price of a full tank" = color(green)(|bar(ul(color(white)(a/a)color(black)("$17")color(white)(a/a)|)))#