Question

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?
$12d\geqslant 1000and84$
$12d\leqslant 1000and84$
$12d\geqslant 1000$ and 83
$12d\leqslant 1000$ and 83

Answer 1

To find an inequality to determine how many dozen donuts the junior class needs to sell to make at least $1,000, we can start by letting \( d \) represent the number of dozens sold.

The students are selling donuts for $12 per dozen, so the total revenue from selling \( d \) dozens can be expressed as \( 12d \).

To ensure they make at least $1,000, we set up the following inequality:

\[
12d \geq 1000
\]

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

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

Calculating the right side:

\[
d \geq 83.33
\]

Since \( d \) represents the number of dozen donuts sold and can only be a whole number, we round up to the nearest whole number. Thus, the minimum number of dozens they need to sell is:

\[
d \geq 84
\]

So they need to sell at least 84 dozen donuts.

The final answer, based on the provided options, corresponds to:

**$12d \geq 1000$ and 84.**