Answer:
$290.
Step-by-step explanation:
We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.
![\text{The cost of renting a car for 3 days}=3\times \$40](https://tex.z-dn.net/?f=%5Ctext%7BThe%20cost%20of%20renting%20a%20car%20for%203%20days%7D%3D3%5Ctimes%20%5C%2440)
We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:
![\text{Cost of renting the car for 500 miles}=500\times \$0.20](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20renting%20the%20car%20for%20500%20miles%7D%3D500%5Ctimes%20%5C%240.20)
![\text{Cost of renting the car for 500 miles}=\$100](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20renting%20the%20car%20for%20500%20miles%7D%3D%5C%24100)
As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:
![\text{The cost of collision deductible for 3 days}=3\times \$10](https://tex.z-dn.net/?f=%5Ctext%7BThe%20cost%20of%20collision%20deductible%20for%203%20days%7D%3D3%5Ctimes%20%5C%2410)
![\text{The cost of collision deductible for 3 days}=\$30](https://tex.z-dn.net/?f=%5Ctext%7BThe%20cost%20of%20collision%20deductible%20for%203%20days%7D%3D%5C%2430)
She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.
![\text{The total cost to rent the car}=\$120+\$100+\$30+\$40](https://tex.z-dn.net/?f=%5Ctext%7BThe%20total%20cost%20to%20rent%20the%20car%7D%3D%5C%24120%2B%5C%24100%2B%5C%2430%2B%5C%2440)
![\text{The total cost to rent the car}=\$290](https://tex.z-dn.net/?f=%5Ctext%7BThe%20total%20cost%20to%20rent%20the%20car%7D%3D%5C%24290)
Therefore, the total cost to rent the car was $290.