Jessique sells handbag for $50 each she spends $4 per handbag for materials and $1000 to rent a store each month write an expression that shows how much profit jessique will earn in 1 month if she sells x amount of handbags

The expression that shows how much profit Jessique will earn in

1 month is ⇒ Profit = 46x - 1000

Step-by-step explanation:

* Lets revise the relation between selling price , cost price and profit

- Profit is the difference between the selling price and the cost price

- Profit = selling price - cost price

- Jessique sells handbag for $50 each

- The selling price of each handbag is $50

- She spends $4 per handbag for materials

- She spends $1000 to rent a store each month

- She sells x amount of handbags in one month

* Lets calculate the cost price of the x handbags in 1 month

∵ She spends $4 per handbag for materials

∴ She spends on the materials of x handbag = 4 × x = 4x

∵ She spends $1000 to rent a store each month

∴ The cost price of x handbags in 1 month = 4x + 1000

∵ She sells x handbags in 1 month

∵ The selling price of 1 handbag is $50

∴ The selling price of x handbags in 1 month = 50 × x = 50x

∵ Profit = selling price - cost price

∴ Profit = 50x - (4x + 1000) ⇒ multiply the bracket by (-)

∴ Profit = 50x - 4x - 1000 ⇒ add like terms

∴ Profit = 46x - 1000

* The expression that shows how much profit Jessique will earn in

 1 month is Profit = 46x - 1000