You and your family will be taking a long vacation (from 1 to 4 weeks) to Camotes Island. The place is so small that the residents don't use cars but large enough that they do use other forms of transportation. There are three motorbike rental companies on the island. All three companies have weekly rentals.

Motostarr charges ₱500 upfront (advance payment) plus ₱150 per week
NL & Co charges ₱200 upfront (advance payment) plus ₱250 per week
Sikad charges ₱350 upfront plus ₱200 per week

You must come up with a detailed reason for choosing which company to rent scooters from the island.

Here are your tasks!

Show your family a table with the costs broken down.

Show your family a graph of the costs.

Show your family algebraically how to find the best deal.

After coming up with your choice and convincing your family to go with that company, you receive a coupon in the mail from Sikad with a special offer. The offer is for the use of a jet ski for a day at no charge. The usual daily rental for the jet ski is ₱150. Does this change your decision?

Explain in full detail why this does or does not change your initial decision, what was difficult for you in this task, what you learned, and what you might do differently.

1 answer

for w weeks, the costs are
Moto: 500+150x
NL: 200+250x
Sikad: 350+200x
Now you can compare the cost when 1 <= x <= 4
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