5. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response, Be sure to clearly labol each part of your response as Part A, Part B, and Part C. Part A: Kennedy rents a car for 7 days. She picks the car up on Tuesday and returns it on the following Monday. The cost for each day is $$ \$ 22.99 $$, but the cost goes up by $$ 32 \% $$ on the weekends (Saturday and Sunday). How much will it cost for her to rent this car? Part B: When Kennedy gets to the car rental shop she decides that she should purchase insurance for $$ \$ 12 $$ and she realizes that she forgot to figure in the sales tax of $$ 5.9 \% $$. What will the car actually cost her to rent. Part C: Kennedy fills the gas tank of the car up before returning it. She puts 14.5 gallons of gas in the car. She pays $$ \$ 2.64 $$ per gallon. How much does she save if the rental company would have charged $$ \$ 3.85 $$ per gallon.

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UpStudy AI · Accepted Answer

**Part A**  
Kennedy rents the car for 7 days. The daily base cost is  
$$
\$22.99
$$  
However, on weekends (Saturday and Sunday) the cost increases by $$32\%$$. The increased cost on those days is  
$$
22.99 \times (1 + 0.32) = 22.99 \times 1.32 \approx 30.35.
$$

Identifying the days:  
- Weekdays (Tuesday, Wednesday, Thursday, Friday, Monday): 5 days  
- Weekend (Saturday and Sunday): 2 days

The total rental cost is therefore:  
$$
5 \times 22.99 + 2 \times 30.35 \approx 114.95 + 60.70 = 175.65.
$$

Thus, the cost to rent the car is approximately  
$$
\$175.65.
$$

---

**Part B**  
Kennedy adds an insurance cost of  
$$
\$12.00.
$$  
Before tax, the total cost becomes:  
$$
175.65 + 12 = 187.65.
$$

A sales tax of $$5.9\%$$ is applied to this amount. The tax is:  
$$
187.65 \times 0.059 \approx 11.08.
$$

Adding the tax to the pre-tax total gives the final cost:  
$$
187.65 + 11.08 \approx 198.73.
$$

Thus, the actual cost for the rental (including insurance and tax) is approximately  
$$
\$198.73.
$$

---

**Part C**  
Kennedy fills up the tank with  
$$
14.5 \text{ gallons of gas at } \$2.64 \text{ per gallon}.
$$  
The cost she pays is:  
$$
14.5 \times 2.64 \approx 38.28.
$$

If the rental company had charged  
$$
\$3.85 \text{ per gallon},
$$  
the cost would have been:  
$$
14.5 \times 3.85 \approx 55.83.
$$

The savings is the difference:  
$$
55.83 - 38.28 \approx 17.55.
$$

Thus, Kennedy saves approximately  
$$
\$17.55.
$$
**Part A** Kennedy rents the car for 7 days. The cost is \$175.65. **Part B** Including insurance and tax, the total cost is \$198.73. **Part C** Kennedy saves \$17.55 by filling the gas tank herself.

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