A recipe for watermelon agua fresca calls for cup of cubed, seeded watermelon and 1 cup of ice. Complete the table to show how much watermelon and ice to use in different numbers of batches of the recipe.

Two students are solving the same problem: At a hardware store, they can cut a length of rope off of a big roll so that the customer can buy any length they like. The cost for 6 feet of rope is $7.50. How much would the customer pay for 50 feet of rope at this rate?

1. Kiran knows he can solve the problem this way.

   

   A two column table with 3 rows of data. The first column is labeled "length of rope, in feet", and the second column is labeled "price of rope, in dollars." The data are as follows: Row 1; 6 feet, 7 point 5 zero dollars. Row 2; 1 foot, 1 point 2 5 dollars. Row 3; 50 feet, blank. Two arrows on either side of the table point from row 1 to row 2 and are labeled "multiply by one sixth." Two additional arrows point from row 2 to row 3 and are labeled "multiply by 50."

   What would be Kiran's answer?

2. Kiran wants to know if there is a more efficient way of solving the problem. Priya says she can solve the problem with only 2 rows in the table.

   length of rope (feet)	price of rope (dollars)
   6	7.50
   50

   What do you think Priya's method is?

1. Tyler swims at a constant speed, 5 meters every 4 seconds. How long does it take him to swim 114 meters?

   distance (meters)	time (seconds)
   5	4
   114

2. A factory produces 3 bottles of sparkling water for every 8 bottles of plain water. How many bottles of sparkling water does the company produce when it produces 600 bottles of plain water?

   number of bottles of sparkling water	number of bottles of plain water

3. A certain shade of light blue paint is made by mixing quarts of blue paint with 5 quarts of white paint. How much white paint would need to be mixed with 4 quarts of blue paint?

4. For each of the previous three situations, write an equation to represent the proportional relationship.

1. To make watermelon agua fresca:
   • Diego mixes cup of lime juice into gallon of watermelon juice.
   • Elena mixes cup of lime juice into gallon of watermelon juice.
   Which mixture has a stronger lime flavor? Explain or show your reasoning.
2. Lin runs miles in of an hour. Tyler runs miles in  hours. How long does it take each of them to run 10 miles at that rate? Explain or show your reasoning.