Math Problem Statement

  1. The double number line shows how much water and how much lemonade powder to mix to make different amounts of lemonade.

4-

water (cups)

lemonade powder (scoops)

0

1.5

Make a table that represents the same situation.

Solution

To create a table representing the situation depicted in the double number line, we align the quantities of water (cups) with the corresponding quantities of lemonade powder (scoops). Since the double number line implies a proportional relationship, we can calculate the values accordingly.

Proportional Relationship:

  • For every 4 cups of water, there are 1.5 scoops of lemonade powder.

Table:

Water (cups)Lemonade Powder (scoops)
00
41.5
83.0
124.5
166.0

In this table:

  • Each step adds 4 cups of water and 1.5 scoops of powder to maintain the ratio.

Would you like me to graph this or expand on proportional relationships?


  1. How can you use a double number line to check for proportionality?
  2. What is the constant of proportionality for this lemonade mixture?
  3. How would the table change if you used 2 scoops of powder for every 4 cups of water?
  4. How would you graph this relationship on a coordinate plane?
  5. If you wanted 10 cups of water, how much powder would you need?

Tip: Always verify proportional relationships by dividing

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Math Problem Analysis

Mathematical Concepts

Proportional Relationships
Ratios
Table Representation

Formulas

Proportion: quantity1 / quantity2 = constant

Theorems

Proportionality Theorem

Suitable Grade Level

Grades 6-8