Q. 143.9( 35 Votes )

A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid ₹ 27 for a book kept for seven days. If the fixed charges be ₹ x and subsequent per day charges be ₹ y, then write the linear equation representing the above information and draw the graph of the same. From the graph if the fixed charge is ₹ 7 the subsequent per day charge ? and if the per day charge is ₹ 4/- find the ‘fixed’ charge ?

Answer :

John paid Rs. 27 for a book kept for seven days. If the fixed charges be Rs. x and subsequent per day charges be

Rs. y


x + 4y = 27 is the equation.


For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.


(Note: equation is linear graph will always be straight line.)


Table of solutions for the given equation-



GRAPH:



Now, from the graph if the fixed charge is Rs. 7 the subsequent per day charge is Rs. 5 (pt. E)


and if the per day charge is Rs. 4, then the fixed charge is Rs. 11. (pt. F)


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