Lisa has a home-based business making and selling scented soaps. She intially spent $72 to purchase soap-making equipment, and t
he materials for each pound of soap cost $7. Lisa sells the soap for $10 per pound. Eventually, she will sell enough soap to cover the cost of the equipment. What will be Lisa's total sales and costs be? How much soap will that be?
Let x represent the number of pounds of soap that she makes and eventually sells.
She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. This means that the total cost of making x pounds of soap would be
7x + 72
Lisa sells the soap for $10 per pound. This means that her revenue for x pounds of soap would be
10 × x = 10x
If she eventually sells enough soap to cover the cost of the equipment, then
