Ling decides to sell cupcakes at the country fair. Her ingredients cost her about 25 cents per cupcake. Renting a booth costs $30 per day. She sells each cupcakes for $1. Ling's expenses can be modeled by the function C (x) = 0.25x + 30.00. Her income can be modeled by the function p (x) = 1.00x. How many cupcakes must she sell to break even?

Question

Mathematics

Ernie

13 September, 13:22

Ling decides to sell cupcakes at the country fair. Her ingredients cost her about 25 cents per cupcake. Renting a booth costs $30 per day. She sells each cupcakes for $1. Ling's expenses can be modeled by the function C (x) = 0.25x + 30.00. Her income can be modeled by the function p (x) = 1.00x. How many cupcakes must she sell to break even?

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Dragonfly · Answer 1

To find how many cupcakes Ling must sell to break even, you will create an equation where the functions are equal.

0.25x + 30 = 1x; then solve the equation for x, the number of cupcakes.

0.25x + 30 = 1x

-0.25x - 0.25x

30 = 0.75x

30 30

x = 40

Ling will need to sell 40 cupcakes.