Kathy has a small business selling apple cider at the farmers' market. She pays $35 per day to rent her space at the market, and each cup of cider costs her $1. She sells the cider for $2.50 per cup and brings enough cider and cups to sell a maximum of 200 cups in a day.

Write an equation to model each of the following for 1 day, as a function of the number, n, of cups of cider sold.
a)Her total cost, C
b)Her revenue, R

a) Kathy's total cost, C, can be calculated by adding the fixed cost (rent) to the variable cost (cost per cup multiplied by the number of cups sold).

The fixed cost is $35, and the variable cost per cup is $1. So the equation for the total cost is:

C = 35 + 1n

Where n represents the number of cups of cider sold.

b) Kathy's revenue, R, can be calculated by multiplying the selling price per cup by the number of cups sold.

The selling price per cup is $2.50. So the equation for revenue is:

R = 2.50n

Again, n represents the number of cups of cider sold.