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 ?

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.

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