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 greater-than-or-equal-to 1000 and 84

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

12d≥1000
and 83

Answer 1

To determine how many dozen donuts need to be sold to make at least $1,000, we can set up the following inequality:

Let \( d \) be the number of dozen donuts sold. The revenue from selling \( d \) dozen donuts is given by the equation:

\[ 12d \]

We want to find how many dozen donuts need to be sold so that the revenue is at least $1,000. This gives us the inequality:

\[ 12d \geq 1000 \]

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

1. Divide both sides by 12:

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

2. Calculate \( \frac{1000}{12} \):

\[ \frac{1000}{12} \approx 83.33 \]

Since they cannot sell a fraction of a dozen donuts, they need to sell at least 84 dozen donuts to meet their goal. Thus, the complete solution is:

\[ d \geq 84 \]

So, the correct inequality and solution from your provided options is:

12d ≥ 1000 and 84