Answer:
$290.
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* \$40](https://img.qammunity.org/2020/formulas/mathematics/high-school/l6waqf9hl4jmyh6sxayuwogr78oqvz97yc.png)
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* \$0.20](https://img.qammunity.org/2020/formulas/mathematics/high-school/9d5p050b1mk5k84hicbolg4purqt96mb5n.png)
![\text{Cost of renting the car for 500 miles}=\$100](https://img.qammunity.org/2020/formulas/mathematics/high-school/eht0mmehcn6xffhi400lyswk3fg3g7rqu4.png)
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* \$10](https://img.qammunity.org/2020/formulas/mathematics/high-school/70w4zvfsgwtk9uuudyuh8nkv1uourb2m8j.png)
![\text{The cost of collision deductible for 3 days}=\$30](https://img.qammunity.org/2020/formulas/mathematics/high-school/oidmc15f7b0pvnh4u73a5i7nfy3yfxm95d.png)
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://img.qammunity.org/2020/formulas/mathematics/high-school/12u5i2e7gg8s90mtmaw2tvwc106rg9tmbt.png)
![\text{The total cost to rent the car}=\$290](https://img.qammunity.org/2020/formulas/mathematics/high-school/10kfgq5bm5geay1tbih3awco7nv4wuj76t.png)
Therefore, the total cost to rent the car was $290.