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)

Question

Responses

20 bottles
20 bottles

exactly 200 bottles
exactly 200 bottles

at least 200 bottles
at least 200 bottles

at least 20 bottles
at least 20 bottles

Answer 1

To determine how many bottles the store owner needs to sell to earn at least $400 in profit, we can use the following formula:

Profit = Profit per bottle × Number of bottles

In this case, the profit per bottle is $2, and the target profit is at least $400.

Let \( x \) be the number of bottles sold. We can set up the inequality:

\[ 2x \geq 400 \]

Now, divide both sides by 2:

\[ x \geq 200 \]

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

So the correct response is:

at least 200 bottles.