Question

se the table to answer the question. Type of Event Total Number of Students Roses and a Red Bow 15 Roses and a Yellow Bow 12 Roses and a Green Bow 5 Carnations and a Red Bow 8 Carnations and a Yellow Bow 5 Carnations and a Green Bow 9 Daisies and a Red Bow 17 Daisies and a Yellow Bow 12 Daisies and a Green Bow 7 Adam conducted a survey of his fellow students to determine which flowers they would buy with which kind of bow. He created the table to show the results of the experiment. Predict how many boxes of roses with red bows Adam would have to order if he were to sell 1,567 total boxes of flowers. Round to the nearest whole number. (1 point) boxes Remaining Attempts : 3 Skip to navigation

Answer 1

To predict how many boxes of roses with red bows Adam would need to order, we first need to calculate the total number of students and then determine the proportion of students that chose roses with red bows.

1. Calculating the Total Number of Students:

   • Roses and a Red Bow: 15
   • Roses and a Yellow Bow: 12
   • Roses and a Green Bow: 5
   • Carnations and a Red Bow: 8
   • Carnations and a Yellow Bow: 5
   • Carnations and a Green Bow: 9
   • Daisies and a Red Bow: 17
   • Daisies and a Yellow Bow: 12
   • Daisies and a Green Bow: 7

   Adding these together gives: $15+12+5+8+5+9+17+12+7=90$ total students.

2. Calculating the Proportion of Students Choosing Roses with Red Bows:

   • Students who chose roses with red bows = 15

   The proportion (or fraction) of students who chose roses with red bows is: $$\text{Proportion}=\frac{\text{Roses with Red Bow}}{\text{Total Students}}=\frac{15}{90}=\frac{1}{6}$$

3. Calculating the Number of Boxes of Roses with Red Bows Needed for 1,567 Total Boxes: To find how many boxes of roses with red bows would be needed, multiply the total number of boxes by the proportion: $$\text{Boxes of Roses with Red Bow}=\text{Total Boxes}\times \text{Proportion}$$ $$=1,567\times \frac{1}{6}$$ $$=261.1667$$

4. Rounding to the Nearest Whole Number: Rounding 261.1667 to the nearest whole number gives us: $$\text{Boxes of Roses with Red Bow}\approx 261$$

Therefore, Adam would need to order approximately 261 boxes of roses with red bows.