Sue makes and sells cupcakes. If she has a cost of $1,500 per year plus a cost of $1 per cupcake, how many cupcakes must she sell in order to make a profit if each cupcake sells for $3?

751 cupcakes must be sold to make a profit

Step-by-step explanation:

From the question we are told that

Annual cost= $1,500 per year plus a cost of $1 per cupcake

Each cup cake sell at $3

Generally the profit off the top of each cupcake is $2

Therefore

This implies that 750 cupcakes will be sold to cover the annual cost excluding cupcake cost

Generally

751 cupcakes=$1502

Total Annual cost to make a profit

Total Annual sale

Mathematically

Therefore

751 cupcakes must be sold to make a profit

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

i hope this is what you were looking for.

see attached graph