5. (20 points) Jasmine is trying to earn enough money to afford a new laptop that costs $360 for the coming semester. She works at Star Coffee and makes $15/hr.She also has a job as a nanny which pays $12/hr. (a) Identify the variables and create an equation of a line for how many hours Jasmine will have to work at each job to afford the laptop. (b) Graph the line from (a). Label the axis appropriately and find the intercepts. (c) Give the contextual meaning of each intercept. (d) If Jasmine wants to work six more hours at the coffee shop than as a nanny,how many hours of each will she need to work? Do not guess and check, solve through setting up a system of linear equations.