5.A) Kwame sells ice cream cones at the country fair. He has to rent the equipment for $29 and spend $0.43 on ingredients for each cone. How many ice cream cones must he sell at $1.10 each in order to make a profit?
A)Wrie an inequality that represents how many ice cream cones must be sold to make a profit.
B) Solve the inequality.
C) How many cones must be solid for a profit?
looks like
1.10x > 0.43x + 29
(let me know if you did not get 59 for c))
how do u solve it
A) To find an inequality that represents the number of ice cream cones Kwame must sell to make a profit, let's break down the costs and revenue involved.
Kwame has fixed costs, which include the equipment rental fee of $29, and variable costs, which include the ingredients cost of $0.43 per cone.
The revenue Kwame earns is the selling price of each cone, which is $1.10.
To make a profit, Kwame's revenue must be greater than or equal to his total costs.
Let's denote the number of cones he sells as "x".
The inequality representing this situation is:
Revenue >= Total Costs
The revenue earned from selling cones is the selling price per cone multiplied by the number of cones sold:
Revenue = 1.10x
The total costs include the fixed costs and variable costs:
Total Costs = Equipment Rental Fee + Ingredients Cost
Total Costs = 29 + 0.43x
Therefore, the inequality becomes:
1.10x >= 29 + 0.43x
B) Now, let's solve the inequality to find the number of cones Kwame must sell to make a profit.
1.10x >= 29 + 0.43x
Subtract 0.43x from both sides:
1.10x - 0.43x >= 29
0.67x >= 29
Divide both sides by 0.67:
x >= 29 / 0.67
x >= 43.28 (rounded to two decimal places)
C) To determine how many cones Kwame must sell to make a profit, we take into account that he cannot sell a fraction of a cone. Therefore, he must sell at least 44 ice cream cones to make a profit.