Question

Sophia needs to earn at least $1,800 each month to cover her living expenses. What is the minimum amount she needs to sell in order to earn at least $1,800 if she earns a 10.75% commission on everything she sells? Round to the nearest dollar.

Answer 1

To calculate Sophia's minimum sales to earn $1,800, divide her required income by her commission rate of 10.75%, which equals approximately $16,744 when rounded to the nearest dollar.

Step-by-step explanation:

To calculate the minimum amount Sophia needs to sell to earn at least $1,800 in commissions, you would use the formula: minimum sales = required income / commission rate.

In Sophia's case, the formula becomes: minimum sales = $1,800 / 10.75%. To express 10.75% as a decimal, we divide by 100, which gives us 0.1075.

Now we calculate the minimum sales = $1,800 / 0.1075, which equals approximately $16,744.19.

Since Sophia needs to know the minimum sales rounded to the nearest dollar, the answer is $16,744.