Technical Engineering presently leases a copying machine on a monthly basis. The lease agreement requires a fixed fee each month in addition to a charge per copy. Technical made 2400 copies and paid a total of $162 in rent in September and in October they paid $195 for 3500 copies. Determine the total amount that would be paid for 1800 copies.
A) $120
B) $138
C) $144
D) $163

Question

Quizplus · Accepted Answer

Let's set up two equations based on the lease agreement:

162 = a + 2400c
195 = a + 3500c

where a is the fixed fee and c is the charge per copy.

Solving for a in both equations, we get:

a = 162 - 2400c
a = 195 - 3500c

Setting those two expressions equal to each other and solving for c, we get:

162 - 2400c = 195 - 3500c
1100c = 33
c = 0.03

Now we can plug in c to either of the equations above and solve for a:

162 = a + 2400(0.03)
a = 162 - 72
a = 90

So the lease agreement is:

Fixed fee: $90
Charge per copy: $0.03

To find the total amount for 1800 copies, we can use the same equation:

Total rent = fixed fee + (charge per copy x number of copies)

Total rent = 90 + (0.03 x 1800)
Total rent = 90 + 54
Total rent = $144

Therefore, the answer is choice C: $144.

Technical Engineering Presently Leases a Copying Machine on a Monthly