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A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *

Answer :

Hey there!

First of all, we see that each backpack sold gives a profit of $20. We see the word at least in the equation, so that means that we will use this type of inequality.

backpacks sold ≥ #

We can plug our info into an inequality and solve, with b being the number of backpacks sold.

20b-11,000≥7,800

20b≥18800

b≥940

I hope that this helps! Have a great day!

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