1. A restaurant owner wants to sell T-shirts advertising his brand. He recalls that there is a fixed cost and variable cost, although he does not remember the values. He does know that the T-shirt printing company charges $440 for20 shirts and $1000 for100 shirts.

a. Find the equationC=(x) that describes the total cost as a function of a number of shirts.

b. Determine how many shirts he must sell to break even if he sells the shirts for $10 each.

2. A family bakery makes cupcakes and sells them at local outdoor festivals. For a music festival, there is a fixed cost of $125to set up a cupcake stand. The owner estimates that it costs $0.75 to make each cupcake. The owner is interested in determining the total cost C as a function of a number of cupcakes made.

a. Find a linear function that relates cost Cto x, the number of cupcakes made.

b. Find the cost to bake160 cupcakes.

If the owner sells the cupcakes for $$1.50 a piece, how many cupcakes does she need to sell to start making profit?

Hint: Add both functions to a graph, then use the Intersection function to find this number.