Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice. Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch

Use the information in the table to complete the statements below.

have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is
.

If Rudy used either of these two recipes to make 3 cups of punch, there would be
cups of pineapple juice in in the batch.

Recipes 1 and 3 have the same proportion.

The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch

To make 3 cups of punch, there would be 1.2 cups of pineapple juice.

To make 30 cups of punch, there would be 12 cups of pineapple juice.

Step-by-step explanation:

To find proportions, divide the amounts

2/5 = 0.4   7.2/20 = 0.36   6.4/16 = 0.4

I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

b

step-by-step explanation: