please answer all questions

4) The supervisor of a math team needs to serve coffee to all the teachers at the next math meet. The math team has money left over from their Pl Day celebration fundraiser and decides to have the event catered with fancy coffee. Gold Coffee Company charges a $50 set up fee and $1.50 per cup. Blue River Coffee Company charges a $30 set up fee and $2.00 per cup. For each company, the total cost is a function of the number of cups ordered. a) (2 points) Create a linear model that gives the total cost for each company. Gold Coffee: Blue River Coffee: b) (2 points) Define the input and output variables you used in your models in part a). Remember, this means the letter and what the letter represents. Define the input: Define the input: c) (1 point) How would you determine when these two companies would cost the same amount? (You don't actually need to calculate this.) d) (1 point) Sketch good-enough graphs of the linear models. Be sure to: Label the x and y axis Put a title on the graph and Tindicate where the lines intersect (you can use Desmos) 115 110 105 100 95 90 85 80 75 70 55 55 SB 45 35 30 10 Algebraic Reasoning 5 10 15 20 25 30 35 40 Wrap-Up 59-61