A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4,000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets in the factory after days. 2) After how many days will the factory begin producing trinkets?

Question

Tyshawn English

Mathematics

13 January, 06:37

A trinket company has a warehouse that contains 50,000 trinkets. At the end of each day, a truck picks up 4,000 trinkets to deliver to the trinket store. When the warehouse drops below 15,000 trinkets, the company will begin producing more trinkets to restore the inventory. 1) Write an equation for the number of trinkets in the factory after days. 2) After how many days will the factory begin producing trinkets?

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Manuel Spence · Answer 1

After 9 days they will begin producing new trinkets.

The expression for the number of trinkets in the company after d days would be 50000-4000d. The inequality going along with it would be:

50000-4000d<15000

We start by cancelling 50000 from both sides by subtracting:

50000-4000d<15000-50000

-4000d<-35000

Divide both sides by - 4000:

-4000d/-4000 < - 35000/-4000

d > 8.75

This would round up to 9 days.