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 greater-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 the junior class needs to sell to make at least $1,000, we can set up the inequality based on the price they are selling the donuts for.

They are selling donuts for $12 per dozen, so the revenue (R) from selling \( d \) dozens can be expressed as:

\[ R = 12d \]

To find out how many dozens they need to sell to make at least $1,000, we can set up the following inequality:

\[ 12d \geq 1000 \]

Now, we solve the inequality 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, they need to round up to the next whole number. Thus, they will need to sell at least 84 dozen donuts.

So, the inequality is:

\( 12d \geq 1000 \) and the solution is 84 (i.e., they need to sell at least 84 dozen donuts).

Therefore, the correct response is:

12d ≥ 1000 and 84.