Complete the double number to line show percentages of $50.
Understand the Problem
The question asks for the completion of a double number line to show percentages of $50 by filling in the respective dollar amounts for given percentages.
Answer
- 0% = $0 - 25% = $12.50 - 100% = $50 - 125% = $62.50
Answer for screen readers
The completed values are:
- 0% = $0
- 25% = $12.50
- 100% = $50
- 125% = $62.50
Steps to Solve
- Understanding the Relationship Between Percentages and Dollars
To complete the double number line, we need to understand the relationship between percentages and dollar amounts. We know that 100% of $50 is $50.
- Calculating 25% of $50
To find out how much 25% of $50 is, we use the formula:
$$ 0.25 \times 50 = 12.50 $$
This means at 25%, the dollar amount is $12.50.
- Calculating 125% of $50
Next, we calculate 125% of $50 with the formula:
$$ 1.25 \times 50 = 62.50 $$
This shows that at 125%, the dollar amount is $62.50.
- Filling in the Double Number Line
Using these calculations, we can fill in the missing values on the double number line based on the percentages given.
- For the 0% mark, the value is $0.
- At 25%, the value is $12.50.
- At 100%, the value remains $50.
- At 125%, the value is $62.50.
The completed double number line will look like this:
- Money (dollars): $0, $12.50, $50, $62.50
- Percentages: 0%, 25%, 100%, 125%
The completed values are:
- 0% = $0
- 25% = $12.50
- 100% = $50
- 125% = $62.50
More Information
The double number line helps visualize the linear relationship between percentages and dollar amounts. Each percentage reflects a portion of a total value, making it easier to understand how amounts change relative to the whole.
Tips
- Miscalculating Percentages: Ensure to convert percentages to decimals correctly; for example, 25% should be written as 0.25.
- Forgetting the Scale: Make sure to mark the dollar amounts accurately according to their corresponding percentages on the number line.
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