MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
Two taxi companies operate on the same route.
Company P charges Rs 30 as boarding fare and Rs 5 per kilometre travelled.
Company Q charges no boarding fare but Rs 8 per kilometre.
Let x be the distance travelled (in km) and y the fare (in rupees).
(i) Form the linear equations in x and y for the fares of Company P and Company Q.
(ii) Draw the graphs of both equations on the same axes.
(iii) From the graph, determine (a) the distance at which both companies charge the same fare, and (b) the fare charged by Company P for a 12 km trip (estimate if necessary).