Question

hans needs to rent a moving truck. suppose company a charges a rate of $40 per day and company b charges a $60 fee plus $10 per day. for what number of days is the cost the same?

Explanation:

Step1: Set up cost - equations

Let $x$ be the number of days. The cost $C_A$ of Company A is $C_A = 40x$. The cost $C_B$ of Company B is $C_B=60 + 10x$.

Step2: Set the two costs equal

We want to find when $C_A = C_B$, so we set up the equation $40x=60 + 10x$.

Step3: Solve the equation for $x$

Subtract $10x$ from both sides: $40x-10x=60 + 10x-10x$, which simplifies to $30x = 60$. Then divide both sides by 30: $x=\frac{60}{30}=2$.

Answer:

2