Question

The Cannota family plans to rent a car for a one-week vacation. Company A rents a car for $105 per week plus 14 cents per mile. Company B rents a car for$23 per day plus 10 cents per mile. Find the number of miles traveled that makes the car from company A the better deal.

Answer 1

To find the number of miles that makes the car from Company A the better deal, set up and solve an inequality.

Step-by-step explanation:

To find the number of miles that makes the car from Company A the better deal, we need to set up an equation. Let x be the number of miles traveled. For Company A, the total cost can be represented as 105 + 0.14x. For Company B, the total cost can be represented as 23 * 7 + 0.10x.

We need to find the value of x where the cost from Company A is less than the cost from Company B. So, we set up the inequality 105 + 0.14x < 23 * 7 + 0.10x. Solving this inequality, we find that the number of miles traveled that makes the car from Company A the better deal is x > 2470. Therefore, the car from Company A is the better deal when the number of miles traveled is greater than 2470.