Question

Which inequality models this problem?

Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales.

What is the minimum number of weeks it will take for Eduardo to make a profit?




300w>7500+850w

850w>7500+300w

850w<7500+300w

850w≥7500+300w

Answer 1

`850w \geqslant 7500 + 300w`

Answer 2

Answer:
`850w>7500+300w`

The minimum number of weeks it will take for Eduardo to make a profit =14

Explanation:

Let w represents the number of weeks.

Given : Eduardo started a business selling sporting goods.

He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses.

i.e. Expenditure for w weeks=
`7500+300w`

He earns $850 per week in sales.

i.e. Earning =
`850w`

For profit , Earnings > Expenditure

i.e.
`850w>7500+300w`

Subtract 300 from both sides .

`550w>7500`

Divide both sides by 550, we get

`w>13.6363636364\approx14`

Hence, the minimum number of weeks it will take for Eduardo to make a profit=14