Question

Question #3e5e5

Answer 1

`1.10x>29+.43x`
Solving the inequality yields that he must sell at least 44 cones to make a profit.

Explanation:

Kevin has a cost of running his business equal to the cost of renting equipment plus the ice cream cone ingredient cost.

So the cost equation is
`C = $29 +$0.43x`
where `x` equals the number of ice cream cones produced.

Kevin also has a revenue equation which describes how much money he takes in.
The revenue is given by
`R= $1.10x` where x is the number of ice cream cones sold.

Kevin will make a profit when revenue is greater than cost. Profit occurs when
`R>C`
Or substituting equations above for R and C
`1.10x>29+.43x`
Solving by subtracting .43x from both sides gives
`.67x>29`
Dividing by .67 gives
`x=43.3`
So needs to sell 44 ice cream cones to start making a profit.