Question

question 8
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 as charges are the higher of the two? (remember to convert cents to decimals correctly when setting up the equation)
write your answer as a number only.

Explanation:

Step1: Define variables and equations

Let $x$ = number of copies.
Company A cost: $C_A = 90 + 0.06x$
Company B cost: $C_B = 180 + 0.03x$

Step2: Set up inequality for higher A cost

We need $C_A > C_B$:
$90 + 0.06x > 180 + 0.03x$

Step3: Isolate x terms

Subtract $0.03x$ and 90 from both sides:
$0.06x - 0.03x > 180 - 90$
$0.03x > 90$

Step4: Solve for x

Divide both sides by 0.03:
$x > \frac{90}{0.03}$
$x > 3000$

Answer:

3000