Question

Autos in Bangalore have a fixed charge of ₹25 for first 2 km and a variable charge of ₹13 per additional km. If $x$ represents the total distance travelled, then what is the expression for the total charge?

• A. ₹(13$x$ + 1)
• B. ₹(13$x$ - 1)
• C. ₹(25+13$x$)
• D. ₹$13x$

Answer 1

The correct option is B ₹(13$x$ - 1)

Total distance travelled = $xkm$
So, the distance applicable for additional charge is $(x-2)km.$

$\therefore$ Total additional charge $=₹13(x-2)$

$\text{Total charge = Fixed charge + Additional charge}$
$=25+13(x-2)$
$=25+13x-26$
$=13x-26+25$
$=₹(\text{13x -1}$)

$\therefore$ Expression for total charge is $₹(\text{13x - 1}$).