sophia needs to earn at least $1,800 each month to cover her living expenses. what is the minimum amount she…

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.

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

Explanation:

Step1: Set up the equation

Let (x) be the amount she needs to sell. The commission she earns is (0.1075x). We want (0.1075x\geq1800).

Step2: Solve for (x)

Divide both sides of the inequality by (0.1075): (x\geq\frac{1800}{0.1075}). Calculate (\frac{1800}{0.1075}\approx16744.186).

Step3: Round to the nearest dollar

Since we need the minimum amount and money is in dollars, we round up (16744.186) to (16744) (because if we round down, the commission will be less than (1800)).

Answer:

(16744)