Question

. A library charges Rs.20 for the first 3 days and Rs.12 per each subsequent day. Write a linear equation
depicting the relation between x and y and draw the graph.

Answer 1

Let the fixed charge for 3 days =x and additional charge =y

According to the question

⇒x+4y=27....eq1

⇒x+2y=21....eq2

Subtract eq1 and eq2

⇒(3x+4y=27)−(3x+2y=21)⇒2y=6⇒y=3

put y=3 in eq1

⇒x+4×3=27⇒x=15

Fixed charges = Rs. 15

The charge for each extra day = Rs. 3