Question

question 9
company a rents copiers for a monthly charge of $200 plus 10 cents per copy. company b rents copiers for a monthly charge of $400 plus 5 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: $C_A = 200 + 0.10x$
Company B cost: $C_B = 400 + 0.05x$

Step2: Set up inequality for $C_A > C_B$

$200 + 0.10x > 400 + 0.05x$

Step3: Isolate $x$ terms

$0.10x - 0.05x > 400 - 200$
$0.05x > 200$

Step4: Solve for $x$

$x > \frac{200}{0.05}$
$x > 4000$

Answer:

4000