Question

Mary wants to send some packages to her uncle. It costs her $25 to send 5 packages through a certain shipping company. Consider the number of packages per dollar. Write an equation to represent the relationship.A. P = 5DB. p= D/5C. p = 5/DD. D = 1/P

Answer 1

ANSWER

$B.\text{ }P=\frac{D}{5}$

EXPLANATION

We want to find the equation that represents the relationship.

The relationship between the number of packages and the cost of sending the packages is a proportional relationship.

This implies that the equation for this relationship can be written as:

$P=k*D$

where P = number of packages

D = cost of sending packages

k = constant of proportionality

To find the value of k, let us substitute the values of P and D from the question.

We have that P = 5 and D = $25. Therefore:

$\begin{gathered} 5=k*25 \\ \\ k=\frac{5}{25} \\ \\ k=\frac{1}{5} \end{gathered}$

Therefore, the equation that represents the relationship is:

$\begin{gathered} P=\frac{1}{5}*D \\ \\ P=\frac{D}{5} \end{gathered}$

The correct option is option B.