Ms. Garcia is teaching her students about the relationship between the circumference and diameter of car tires. She asks her students to measure the circumference and diameter of different car tires using a tape measure. Each group of students records their measurements in a table. One group's data is shown below:

Question

Complete the table and write a conclusion statement based on the data provided.



Tire Circumference, C (inches) Diameter, d (inches) Ratio:
1 78.5 25.0
2 70.2 22.5
3 97.2 31.2

































































(Round to the nearest tenth)
Conclusion: To the nearest whole number, the circumference of a circle is
times the diameter of the circle.

Answer 1

To complete the table, we need to calculate the ratio of circumference to diameter (C/d) for each tire:

1. Tire 1:

   • Circumference = 78.5 inches
   • Diameter = 25.0 inches
   • Ratio = C/d = 78.5 / 25.0 = 3.14

2. Tire 2:

   • Circumference = 70.2 inches
   • Diameter = 22.5 inches
   • Ratio = C/d = 70.2 / 22.5 = 3.12

3. Tire 3:

   • Circumference = 97.2 inches
   • Diameter = 31.2 inches
   • Ratio = C/d = 97.2 / 31.2 = 3.11

Now, rounding the ratios to the nearest tenth, we get:

• Tire 1: 3.1
• Tire 2: 3.1
• Tire 3: 3.1

Here is the completed table:

| Tire | Circumference, C (inches) | Diameter, d (inches) | Ratio | |------|---------------------------|----------------------|-----------| | 1 | 78.5 | 25.0 | 3.1 | | 2 | 70.2 | 22.5 | 3.1 | | 3 | 97.2 | 31.2 | 3.1 |

Conclusion: To the nearest whole number, the circumference of a circle is 3 times the diameter of the circle.