Question

A lemonade recipe calls for 1-4 cup of lemon juice 1/2 cup of sugar and 1 cup of water

You want to make three batches.
Complete the table for each batch.

Sugar (cups)
2
10
5

Lemon Juice (cups)
1
2 1/2

Answer 1

no answer of this question

Answer 2

The table of values for each batch should be completed as follows;

Sugar (cups) Lemon juice (cups)

2 1

10 2 1/2

5 5/2

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable or time (min)​.
• x represents the x-variable or distance (km).
• k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 1/2 = 2 1/2/10

Constant of proportionality, k = 1/2

Therefore, the required linear equation for y(c) is given by;

y = kx

y = 1/2(x).

When x is 5, the value of t is given by;

y = 1/2(5)

y = 5/2 or 2.5