Question

A convenience store makes a profit of $2 per bottle of a healthy drink if the store owners wants to earn a profit of at least $400 how many bottles of this drink do they need to sell A 20 bottles B at least 200 bottles C at least 20 bottles D exactly 200 bottles

Answer 1

To determine how many bottles the convenience store needs to sell to earn a profit of at least $400, we can set up the following equation based on the profit per bottle:

Let \( x \) be the number of bottles sold. The profit from selling \( x \) bottles can be calculated as:

\[
\text{Profit} = 2x
\]

We want this profit to be at least $400:

\[
2x \geq 400
\]

To solve for \( x \), divide both sides of the inequality by 2:

\[
x \geq 200
\]

This means the store needs to sell at least 200 bottles to achieve a profit of at least $400.

From the options given:
- A) 20 bottles
- B) at least 200 bottles
- C) at least 20 bottles
- D) exactly 200 bottles

The correct answer is **B) at least 200 bottles**.