Solve.
-Company A rents copiers for a monthly charge of $120 plus 6 cents per copy. Company B rents copiers for a monthly charge of $240 plus 3 cents per copy. What is the number of copies above which Company A's charges
Are the higher of the two?
A)4100 copies
B)4000 copies
C)2000 copies
D)8000 copies

Question

Quizplus · Accepted Answer

Let's say x is the number of copies. Then, the total monthly charge for Company A would be:
120 + 0.06x
And the total monthly charge for Company B would be:
240 + 0.03x
We need to find the value of x above which Company A's charges are higher than Company B's charges. In other words, we need to solve the inequality:
120 + 0.06x > 240 + 0.03x
Subtracting 0.03x from both sides, we get:
120 + 0.03x > 240
Subtracting 120 from both sides, we get:
0.03x > 120
Dividing both sides by 0.03, we get:
x > 4000
So, if the number of copies is above 4000, Company A's charges will be higher than Company B's charges. Therefore, the best choice is B. To find the point where Company A's charges become higher than Company B's charges, we need to set the two equations equal to each other and solve for the number of copies:

120 + 0.06x = 240 + 0.03x
0.03x = 120
x = 4000

Therefore, for any number of copies above 4000, Company A's charges will be higher than Company B's charges. Thus, the best choice is B) 4000 copies.

Solve. -Company a Rents Copiers for a Monthly Charge of $120