Question

A convenience store makes a 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?(1 point)
Responses

at least 20 bottles
at least 20 bottles

exactly 200 bottles
exactly 200 bottles

20 bottles
20 bottles

at least 200 bottles

Answer 1

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

Let \( x \) be the number of bottles sold. The profit per bottle is $2, so the total profit for \( x \) bottles sold is \( 2x \).

We want the profit to be at least $400, so we can set up the inequality:

\[
2x \geq 400
\]

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

\[
x \geq \frac{400}{2}
\]
\[
x \geq 200
\]

This means the store owner needs to sell at least 200 bottles. Thus, the correct response is:

**at least 200 bottles**.