Final answer:
The expression to represent the total cost of renting a car for x days is C = 20x + 50, where C is the total cost, x is the number of days the car is rented, 20 is the daily rental charge, and 50 is the additional one-time insurance fee.
Step-by-step explanation:
To represent the total cost of renting a car for x days from a car rental company that charges $20 each day and an additional one-time fee of $50 for insurance, we can write an algebraic expression. The total cost is the sum of the daily charge and the one-time fee.
The daily charge is $20 per day for x days, so the cost for the days rented is 20x. Since the insurance fee is a one-time charge, it is simply added to the daily charge to find the total cost. Therefore, the expression to represent the total cost (C) is:
C = 20x + 50
Where:
- C is the total cost,
- x is the number of days the car is rented,
- 20 is the cost per day,
- 50 is the additional one-time insurance fee.