Question

I need help with this question. I have to show work

Answer 1

PART A:

Let the number of days be represented by t. Let the total cost be represented by C.

FOR COMPANY A:

The equation to represent the total charges will be given as

$C=22t+5$

FOR COMPANY B:

The equation to represent the total charges will be given as

$C=20t+16$

PART B:

Company B will charge less over a 9-day rental period.

To confirm this answer, we will calculate the cost using the equations derived above:

FOR COMPANY A:

$\begin{gathered} C=22(9)+5 \\ C=198+5 \\ C=203 \end{gathered}$

FOR COMPANY B:

$\begin{gathered} C=20(9)+16 \\ C=180+16 \\ C=196 \end{gathered}$

Therefore, COMPANY B will charge less over 9 days.

PART C:

To know how much is saved over a 15-day period, we will first calculate the cost of both companies over the period using the equations derived from Part A.

FOR COMPANY A:

$\begin{gathered} C=22(15)+5 \\ C=330+5 \\ C=335 \end{gathered}$

FOR COMPANY B:

$\begin{gathered} C=20(15)+16 \\ C=300+16 \\ C=316 \end{gathered}$

We can, thus, calculate the difference as

$\begin{gathered} 335-316 \\ =19 \end{gathered}$

Therefore, the amount saved will be $19 over 15 days.