a rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. tyee wants to…

a rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. tyee wants to rent a car, knowing that:\n• he plans to drive 175 miles.\n• he has at most $210 to spend.\nwrite and solve an inequality which can be used to determine x, the number of days tyee can afford to rent while staying within his budget.

a rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. tyee wants to rent a car, knowing that:\n• he plans to drive 175 miles.\n• he has at most $210 to spend.\nwrite and solve an inequality which can be used to determine x, the number of days tyee can afford to rent while staying within his budget.

Answer

Explanation:

Step1: Set up the inequality

The cost per day is (74.90) dollars, so for (x) days, the cost for the days is (74.90x). The cost for driving (175) miles is (0.13\times175 = 22.75) dollars. The total cost must be less than or equal to (210) dollars. So the inequality is (74.90x+22.75\leq210).

Step2: Solve the inequality for (x)

Subtract (22.75) from both sides: (74.90x+22.75 - 22.75\leq210 - 22.75) (74.90x\leq187.25) Divide both sides by (74.90): (x\leq\frac{187.25}{74.90}) (x\leq2.5)

Since (x) represents the number of days, and we can't have a fraction of a day in this context (assuming we are talking about whole - day rentals), the maximum number of days (x) is (2).

Answer:

The inequality is (74.90x + 22.75\leq210) and the solution is (x\leq2.5). Since (x) represents the number of days (and we consider whole - day rentals), (x = 2) (because if (x = 2.5), we take the whole number part as we can't rent for half a day in a practical sense for this problem).