Question

Question #d0038

Answer 1

`$17`

Explanation:

Notice that the problem provides you with the price of gasoline in dollars per liter, `"$/L"`, but that the volume of the gas tank is given to you in gallons, `"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

`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 `"$0.325"` for every liter of gasoline that you purchase, which means that `"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)|)))`