Question

A convenience store makes profit of $2 per bottle of a healthy drink. If the store owner wants to earn a profit of at least $400, how many bottles of this drink do they need to sell?
A. At least 20 bottles
B. 20 bottles
C. Exactly 200 bottles
D. At least 200 bottles

Answer 1

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

Let \( x \) represent the number of bottles sold. The profit per bottle is $2, so the total profit \( P \) can be represented as:

\[
P = 2x
\]

To find out how many bottles must be sold to achieve a profit of at least $400, we set up the inequality:

\[
2x \geq 400
\]

Now, we will solve for \( x \):

1. Divide both sides by 2:

\[
x \geq \frac{400}{2}
\]

2. Simplifying gives:

\[
x \geq 200
\]

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

Based on the options provided, the correct answer is:

**D. At least 200 bottles**.