Question Madison needs to order some new supplies for the restaurant where she works. The restaurant needs at least 400 spoons. There are currently 219 spoons If each set on sale contains 18 spoons , which inequality can be used to determine z, the minimum number of sets of spoons Madison should buy? Answer 400leqslant 18+219x 400leqslant 219+18x 400geqslant 18+219x 400geqslant 219+18x

To determine the minimum number of sets of spoons Madison should buy, we need to set up an inequality that represents the total number of spoons needed.<br /><br />Given:<br />- The restaurant needs at least 400 spoons.<br />- There are currently 219 spoons.<br />- Each set on sale contains 18 spoons.<br /><br />Let \( x \) represent the number of sets of spoons Madison should buy. The total number of spoons after buying \( x \) sets will be the sum of the current spoons and the spoons from the sets bought.<br /><br />The inequality representing this situation is:<br />\[ 219 + 18x \geq 400 \]<br /><br />This inequality states that the total number of spoons (current spoons plus the spoons from the sets bought) must be at least 400.<br /><br />Solving for \( x \):<br />\[ 18x \geq 400 - 219 \]<br />\[ 18x \geq 181 \]<br />\[ x \geq \frac{181}{18} \]<br />\[ x \geq 10.06 \]<br /><br />Since \( x \) must be a whole number, Madison needs to buy at least 11 sets of spoons.<br /><br />Therefore, the correct inequality is:<br />\[ 400 \leq 219 + 18x \]