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2. write a story context that would be represented by the ratio 1:4. co…

Question

  1. write a story context that would be represented by the ratio 1:4. complete a table of values for this equation and graph. create a double number - line diagram to show the relationship.

Explanation:

Step1: Understand the ratio

The ratio is 1:4, which means the second - value is 4 times the first - value.

Step2: Complete the table

If the first - row values are 0, 1, 2, then the second - row values (since the ratio is 1:4) are 0×4 = 0, 1×4 = 4, 2×4 = 8. The completed table:

First ValueSecond Value
14
28

Step3: Write a story context

Suppose you are baking cookies. For every 1 cup of sugar (first value), you use 4 cups of flour (second value).

Step4: Create a double - number line

Draw two parallel number lines. Label the first number line with 0, 1, 2 (for the amount of sugar in cups). Label the second number line directly below it with 0, 4, 8 (for the amount of flour in cups). Connect the corresponding points on the two number lines with vertical lines.

Answer:

Completed table:

First ValueSecond Value
14
28

Story context: For every 1 cup of sugar used in baking cookies, 4 cups of flour are used. Double - number line: Two parallel number lines with 0, 1, 2 on one and 0, 4, 8 on the other with vertical connections between corresponding points.