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This year for Spring break you are taking a solo trip to an exotic destination. You are deciding between two destinations: Bali, Indonesia, and Paris, France. You want to choose the destination that will give you the best value for your money.The table below shows the cost to travel to each destination Flight Hotel (pernight)Bali $967 $58Paris $534 $2551. Create an equation for each destination to represent cost, C to travel to that location based on n Number of nights.2. Explain which destination you choose and why. You must use mathematics in your explanation receive full credit.

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Answer:

Part 1.

Bali: C = 967 + 58n

Paris: C = 534 + 255n

Part 2.

You should choose Bali because the cost is lower when you spend more than 2 nights.

Explanation:

The cost to travel to each destination is equal to the cost of the flight added to the cost of the n nights in the hotel. So, for each destination, we get:

Bali:

C = 967 + 58n

Paris:

C = 534 + 255n

Now, to decide which destination you choose, you need to know the number of nights. So, we can compare both equations as follows

967 + 58n < 534 + 255n

Solving for n, we find the number of nights that make the cost to go to Bali lower, so

967 + 58n - 58n < 534 + 255n - 58n

967 < 534 + 197n

967 - 534 < 534 + 197n - 534

433 < 197n

433/197 < 197n/197

2.198 < n

n > 2.198

Therefore, when n is greater than 2 nights, the cost to go to Bali is lower than the cost to go to Paris.

So, you should choose Bali because the cost is lower when you spend more than 2 nights.

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