Question

Analyze Relationships: Explain how you can be sure that all the rates you have written on a double number line are correct.

a) By comparing the proportions of distances and values correctly.
b) By ensuring that all increments are proportional.
c) By checking that the starting and ending values align with the rates.
d) By cross-referencing with a standard number line to confirm accuracy.

Answer 1

To ensure the correctness of rates on a double number line, compare proportions, ensure proportional increments, check alignment of starting and ending values, and cross-reference with a standard number line.

Step-by-step explanation:

To ensure that all the rates written on a double number line are correct, you can follow these steps:

1. Compare the proportions of distances and values correctly by checking if the ratios are equivalent or equal.
2. Ensure that all increments are proportional. This means that the changes in distances or values between the two points on the number line have a consistent ratio.
3. Check that the starting and ending values align with the rates. The rates should accurately represent the relationship between the starting and ending values.
4. Cross-reference with a standard number line to confirm accuracy. This involves comparing the rates on the double number line with those on a standard number line to ensure consistency.