# Question #d0038

##### 1 Answer

#### Answer:

#### Explanation:

Notice that the problem provides you with the price of gasoline in **dollars per liter**, **gallons**,

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

#color(purple)(|bar(ul(color(white)(a/a)color(black)("1 gal " ~~ " 3.7854 L")color(white)(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 **for every liter** of gasoline that you purchase, which means that

#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)|)))#