Solve the problem.
-Company A rents copiers for a monthly charge of $\$ 90$ plus 6 cents per copy. Company B rents copiers for a monthly charge of $\$ 180$ plus 3 cents per copy. What is the number of copies above which Company A's charges are the higher of the two?
A) 3100 copies
B) 6000 copies
C) 1500 copies
D) 3000 copies

Question

Quizplus · Accepted Answer

To find the number of copies above which Company A's charges are higher, we set up an equation to compare the costs from both companies. Let $x$ be the number of copies made.For Company A: $90 + 0.06x$For Company B: $180 + 0.03x$We want to find when Company A is more expensive, so we set $90 + 0.06x > 180 + 0.03x$. Solving for $x$, we subtract $0.03x$ from both sides and $90$ from both sides to get $0.03x > 90$. Dividing both sides by $0.03$, we find $x > 3000$. Therefore, Company A's charges are higher when more than 3000 copies are made.

Solve the Problem $90\$ 90$90 Plus 6 Cents Per Copy $180\$ 180$180

Solve the Problem $\$ 90$ Plus 6 Cents Per Copy $\$ 180$