Question

A company charges $0.55 per pound to ship pet supplies. write an equation to determine the total cost (c), to ship (p) pounds of pet supplies. If the company reduces the cost to ship pet supplies by $0.05 per pound, write an equation to determine the total cost (c), to ship (p) pounds of pet supplies with the reduced cost.

Answer 1

Answer:

First equation with a charge of $0.55 per pound;

$c=0.55p$

Second equation with the reduced cost;

$c=0.5p$

Explanation:

Let p represent the pounds of pet supplies

Let c represent the total cost to ship pet supplies

If a company charges $0.55 for each pound of supplies, we can go ahead and write the equation to determine the total cost (c), to ship (p) pounds of pet supplies as;

$\begin{gathered} \text{Total cost = cost per pound x number of pounds} \\ c=0.55p \end{gathered}$

If the cost to ship pet supplies is reduced by $0.05 per pound, the new cost will be;

$\text{New cost per pound}=0.55-0.05=\text{ \ 0.5}$

We can now go ahead and write an equation to determine the total cost (c), to ship (p) pounds of pet supplies with the reduced cost as seen below;

$c=0.5p$