 Hello and welcome to the session. In this session, we are going to discuss the following question and the question says that Samantha bought a phone plan. Her monthly call charges are given by the equation y is equal to 0.30x plus 39.95 where x is the number of minutes Samantha spends on phone calls. She also gets 500 minutes free call time, what do the numbers 0.30 and 39.95 tell you about her phone plan, how much will Samantha pay if she uses 560 minutes in a month. In this question, we have to interpret the parameters given by 0.30 and 39.95. We are given the linear relationship by the equation y is equal to 0.30x plus 39.95 where x is the number of minutes Samantha spends on phone calls. Let us start with the solution of this question. Now we are given the linear relationship which is given by the equation y is equal to 0.30x plus 39.95 where x is the number of minutes spent by Samantha on phone calls and y is the monthly cost of plan. Now we see that this equation that is y is equal to 0.30x plus 39.95 is of the form y is equal to mx plus b which is the slope intercept form of the equation so on comparing these two equations we get the value of m as 0.30 and the value of b as 39.95 So slope of the equation is 0.30 the y intercept is given by 39.95 Now we know that slope tells us the rate per unit and intercept gives us the initial value thus 0.30 tells us the rate of call per minute after using 500 minutes of free calling and 39.95 tells monthly charges of the plan are 39.95 dollars. Now we have to find the charges which Samantha will pay if she uses 560 minutes in a month and from the question it is given that in her phone plan 500 minutes are free thus she will pay only for additional 60 minutes So we put x is equal to 60 in the equation y is equal to 0.30x plus 39.95 and we get y is equal to 0.30 into 60 plus 39.95 which implies that y is equal to 0.30 into 60 that is 18 plus 39.95 which further implies that y is equal to 57.95 Since y denotes the monthly cost of plan thus we can say that Samantha will pay 57.95 dollars if she uses 560 minutes in a month which is the required answer this completes our session hope you enjoyed this session