1. Model with Mathematics. Dan has a flower shop. He has a display of 36 roses. He sells 3 bouquets of 4 roses on Monday and 2 bouquets of 5 roses on Tuesday. What expression models the number of roses Dan has left in the display?

To model the number of roses Dan has left, we start with his initial count of 36 roses. On Monday, he sells 3 bouquets of 4 roses each, which equals 3 x 4 = 12 roses. On Tuesday, he sells 2 bouquets of 5 roses each, which equals 2 x 5 = 10 roses. Therefore, the total number of roses sold over the two days is 12 + 10 = 22 roses. The expression that models the number of roses left in the display is 36 - 22, which simplifies to 14 roses. Roses are more than just pretty petals— they have a rich history! Over 5,000 years ago, people cultivated roses for their beauty and fragrance, and they became symbols of love and passion across cultures. Locked in the petals is not only romantic connotation but also medicinal properties; they were used in ancient medicine for everything from soothing skin irritations to treating digestive issues. How’s that for a bloom with history? Now, if you're thinking of running your own flower business like Dan, keep in mind a key tip: always track your sales accurately after each transaction! One common mistake is to forget to update inventory immediately after bouquets are sold. This can lead to overestimating stock and disappointing customers. A tip is to create a chart or use simple software to keep things organized; you want your shop to stay as vibrant as those roses, right?