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Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The company makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?

Respuesta :

calculista

Answer:

The number of gallons must be greater than or equal to 6,500

Step-by-step explanation:

Let

x -----> the number of gallons of paint need to sell

we know that

The number of gallons multiplied by $10 minus the cost of the new graffiti must be greater than or equal to $50,000

so

The inequality that represent this situation is

[tex]10x-15,000\geq 50,000[/tex]

Solve for x

Adds 15,000 both sides

[tex]10x\geq 50,000+15,000[/tex]

[tex]10x\geq 65,000[/tex]

Divide by 10 both sides

[tex]x\geq 6,500[/tex]

The number of gallons must be greater than or equal to 6,500

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