Question

1. in an orchestra, the ratio of french horns to trumpets is 4 : 3. which double number line correctly shows this ratio? a. french horns 0 3 6 9 12 15 trumpets 0 4 8 12 16 20 b. french horns 0 4 8 12 16 20 trumpets 0 3 6 9 12 15 c. french horns 0 1 2 3 4 5 trumpets 0 3 6 9 12 15 d. french horns 0 2 4 6 8 10 trumpets 0 3 6 9 12 15

Explanation:

Step1: Understand the ratio

The ratio of French horns to trumpets is \(4:3\). So for every 4 units of French horns, there should be 3 units of trumpets.

Step2: Analyze each option

• Option A: French horns: \(0, 3, 6, 9, 12, 15\) (increments of 3), Trumpets: \(0, 4, 8, 12, 16, 20\) (increments of 4). Ratio \(3:4\) (reverse), incorrect.
• Option B: French horns: \(0, 4, 8, 12, 16, 20\) (increments of 4), Trumpets: \(0, 3, 6, 9, 12, 15\) (increments of 3). Ratio \(4:3\), correct.
• Option C: French horns: \(0, 1, 2, 3, 4, 5\) (increments of 1), Trumpets: \(0, 3, 6, 9, 12, 15\) (increments of 3). Ratio \(1:3\), incorrect.
• Option D: French horns: \(0, 2, 4, 6, 8, 10\) (increments of 2), Trumpets: \(0, 3, 6, 9, 12, 15\) (increments of 3). Ratio \(2:3\), incorrect.

Answer:

B. French horns: 0, 4, 8, 12, 16, 20; Trumpets: 0, 3, 6, 9, 12, 15