 In our state, organized by our school, every student has to pay a fixed amount of 1 dollar at the entry gate. Then, for each student that the student wants to visit, he has to pay 2 dollars for an equation to find the paper cost a student has to pay and also represent it on the graph. Our question says that if a student wants to append the school fate, he has to pay a fixed amount of 1 dollar at the entry gate and for each student that he wants to visit, he has to pay 2 dollars. We need to form an equation to find the total cost a student has to pay and also, we shall represent it on the graph. Before forming an equation for the given statement, we first identify the independent and the dependent variables in our system. Independent variables are taken as inputs which can be given. Perfect values freely, variables are determined by other variables. In the expression, if their values depend on the values of the independent variables are called dependent variables. With this key idea, we move on to the solution. The given statement says that if a student wants to append the school fate, he has to pay a fixed amount of 1 dollar at the entry gate and has to pay 2 dollars each for the student who visits. So here we suppose the total cost that the student has to pay by the number of stalls of student visits bx, then the total cost will be equal to entry fee plus cost to be paid at each stall that is total cost will be equal to the entry fee that is 1 dollar plus cost to be paid at each stall which is given by 2 dollars into number of stalls visited by the student. As we know that for each stall, the student has to pay 2 dollars each that is total cost which is denoted by y is equal to 1 dollar that is 1 plus 2 dollars into number of stalls visited by the student which is given by x. So we have 2 into x and we can see that x is the independent variable and y is the dependent variable whose value depends on the value of the variable x. Hence we can say that y is equal to 1 plus 2x is the required equation. Now we shall represent this equation on the graph and for this we shall first draw the tables. Here we take x in the first row, y is equal to 1 plus 2x in the second row and the resultant order per xy in the third row. Let us suppose that the student does not visit each stall visits only one stall, two stalls at the fate then we will have x as 0, 1 and 2. If x is equal to 0 then y is given by 1 plus twice of x and on putting x as 0 we get 1 plus 2 into 0 which is equal to 1 plus 0 that is 1. So we get the value of y as 1 that is if the value of x is 0 then y is given by 1 and the ordered pairs so obtain is 0, 1. Similarly if x is equal to 1 then we have y is equal to 1 plus 2 into 1 that is we put the value of x as 1 and we get y is equal to 1 plus 2 into 1 that is 2. So we have y is equal to 3. So x is equal to 1 we have y is equal to 3 and the ordered pair is 1, 3 also if x is equal to 2 then we have y is equal to 1 plus 2 into 2 that is y is equal to 1 plus 2 into 2 that is 4. So we get y is equal to 5 that is for x is equal to 2 we have y is equal to 5 and the ordered pair is 2, 5. So here we get if the student does not visit any stall at the fade he has to just pay the entry fee that is 1 dollar and if the student visits one stall he has to pay 3 dollars including the entry fee and the money spent at the stalls. And similarly if the student visits two stalls he has to pay 5 dollars including the entry fee and the money spent at the stalls. We first draw the perpendicular axis and mark points on it. So here we have the horizontal axis that is x axis which represents the independent variables and the vertical axis that is y axis which represents the dependent variables. Now we shall mark these points on the graph. First let us take the point 0 1 that is we mark 0 on the x axis and 1 on the y axis and we get this point 0 1. Next we mark 1 3 by taking 1 on the x axis and 3 on the y axis and we get this point 1 3. Similarly we mark the point 2 5 by taking 2 on the x axis and 5 on the y axis and we get the point 2 5. Now we have got all the three points on the graph. We shall join the three points and obtain a straight line by joining these three points. And this is the straight line we obtained after joining these three points and this is our required graph. This completes our session. Hope you enjoyed this session.