Question

Write a function (x) that calculates the cost of leasing the machine for x months

Answer 1

Soluton

Question A:

- The initial fee is $1000. While the maintenance cost is $115 per month.

- For the each month we have,

Cost for Month 1: 1000 + 115(1)

Cost for Month 2 1000 + 1515 + 115 = 1(00 + 115(2)

Cost for Month 3: 1000 + 115(3)

- Thus, we can generalize for x months as follows:

$C(x)=1000+115x$

Question B:

- The cost after a year implies the cost after 12 months. Thus, x = 12.

- We have:

$\begin{gathered} C(x)=1000+115x \\ C(12)=1000+115(12) \\ C(12)=1000+1380 \\ \therefore C(12)=\ 2380 \end{gathered}$

Final Answers

Question A: The equation is

$\begin{gathered} C(x)=1000+115x \\ where, \\ x=\text{ The number of months in a year} \end{gathered}$

Qusetion B: The cost ater 1a year is $2380