Question

The school colors at Mission Middle School are green and white. Kendra volunteered to make cupcakes

for the school bake sale. To make the right shade of green frosting, she uses 7 drops of blue food
coloring for every 3 drops of yellow food coloring.

Answer 1

The table should be completed as shown below.

A graph of the data from the table is shown in the picture below.

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 drops of yellow food coloring.
• x represents the x-variable or drops of blue food coloring.
• 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 = 3/7

Since Kendra uses 7 drops of blue food coloring for every 3 drops of yellow food coloring, a linear equation that models the situation is given by;

y = 3/7(x).

When x is 14, the value of x is as follows;

y = 3/7 × 14

y = 6.

When y is 12, the value of x is as follows;

x = 7y/3

x = (7 × 12)/3

x = 28

When y is 15, the value of x is as follows;

x = 7y/3

x = (7 × 15)/3

x = 35

In this context, the table of values should be completed as follows;

Drops of blue food coloring 7 14 28 35

Drops of yellow food coloring 3 6 12 15

Answer 2

64 will be your answer because the amount of blue each time time used for each cupcake will be multiplied into 3 which will be 3