Question

The owner of the bakery keeps track of how many cupcakes are sold each day and how many customers he has each day. That data is listed in the chart below. If the number of cupcakes sold each day (n) is proportional to the number of daily oustomers (c), write an equation that relates these two quantities. If this is not a proportional relationship, explain how you know that it is not proportional. Cupcakes Sola 72 Customers (c) 120 135 150 160 81 87 104

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Table

proportional relationship = ?

Step 02:

relationship:

y = k x

k = y / x

c = y

n = x

k1 = 120 / 72 = 1.667...

k2 = 135 / 81 = 1.667...

k3 = 150 / 87 = 1.724

k4 = 160 / 104 = 1.538

k1 = k2 ≠ k3 ≠ k4

The constant of proportionality is not constant.

The answer is:

The relationship is not proportional