The junior class is selling donuts for a fundraiser. The students are selling the donuts by the dozen. If they want to sell one dozen for $12, write an inequality to find how many dozen donuts they need to sell to make at least $1,000 and find the solution?(1 point)

Question

Responses

12d≤1000
and 83
12 d less-than-or-equal-to 1000 and 83

12d≤1000
and 84
12 d less-than-or-equal-to 1000 and 84

12d≥1000
and 83
12 d greater-than-or-equal-to 1000 and 83

12d≥1000
and 84

Answer 1

To determine how many dozen donuts the junior class needs to sell to make at least $1,000, you can set up the inequality based on the price they are selling the donuts for.

The price of one dozen donuts is $12, so if \( d \) represents the number of dozen donuts sold, the total money made can be represented as \( 12d \). We want the total to be at least $1,000, so the inequality can be expressed as:

\[ 12d \geq 1000 \]

Now, to find the minimum number of dozen donuts they need to sell, divide both sides of the inequality by 12:

\[ d \geq \frac{1000}{12} \]

Calculating the right side:

\[ d \geq 83.33... \]

Since they cannot sell a fraction of a dozen donuts, they would need to sell at least 84 dozen donuts.

So, the correct response is:

12d ≥ 1000 and 84