Question

A trinket factory can produce 3,000 trinkets per day. The warehouse has a capacity of 50,000 trinkets. Currently, there are 8,000 trinkets in the warehouse. Assume that no trinkets are going to be shipped out of the warehouse for a while.

1) Write an equation for the number of trinkets T in the warehouse after D days.

2) How many days will it take to fill the warehouse?

Answer 1

An equation for the number of trinkets in the warehouse after x days:

8,000 + 3,000x = 50,000

How many days will it take to fill the warehouse?

8,000 + 3,000x = 50,000

3,000x = 42,000

x = 14

Answer 2

Answer:

Per day production = 3000

The capacity of the warehouse = 50000

Current count of trinkets = 8000

Part 1:

Assuming that no trinkets are going to be shipped out,

The equation for the number of trinkets T in the warehouse after D days:

$T=8000+3000D$

Part B:

We will put T=50000 in above equation.

$50000=8000+3000D$

=> $3000D=50000-8000$

=> $3000D=42000$

D = 14

Hence, it will take 14 days to fill the warehouse.