You decide to reward yourself and a special someone with a vacation to a destination of your choosing. For your trip you will need to stay in a hotel/resort and rent a car
Part 1
You want to celebrate all of your recent successes. You decide to reward yourself and a special someone with a vacation to a destination of your choosing. For your trip you will need to stay in a hotel/resort and rent a car.
You decide to rent a car for the duration of your trip. You have two options. Write an equation for each company that depicts the total cost of the rental, y, based on the number of days, x.
Cheepers RentACar:
$39/day with a onetime charge of $20 for insurance/fees
Busters:
$49/day but all additional fees are included in the price of the rental
Be sure to label each equation with the company it corresponds to.
Part 2
Graph the system of equations that you wrote for car rental options to determine the breakeven point for the cost of the car rentals. One easy way to do this is using desmos.com, the online graphing calculator and take a screen shot of your graph. If you are unsure how to capture a screen shot visit http://www.takeascreenshot.org/. You may also choose to graph this by hand and take a picture of your graph but be sure that your graph is easy to read. Insert either option AS A PICTURE using the button.
Part 3
Write your solution to the system as an ordered pair, then interpret the values in the context of the problem.
part 4
Explain how you would use your graph to determine the cheaper option after one day, two days, three days etc. What would you look for on the graph?
Part 5
Explain how you would use your break even point to determine the cheaper option after one day, two days, three days etc.
Tutor Answer
Dear student,Please find enclosed a doc file containing the step by step solution to the different parts of your problem.
Solution to part 1:
With the available information, we can build the corresponding equations by considering:

Cheepers rent a car charges us a $20 onetime fee charge and $39 for each day. Thus assuming the
number of days we hire the car is the independent variable x and the price the dependent variable
y, the equation would be:
𝑦 (𝐶ℎ𝑒𝑒𝑝𝑒𝑟𝑠 𝑅𝑒𝑛𝑡 − 𝐴 − 𝐶𝑎𝑟) = 20 + 39𝑥

Busters does not charge any onetime fee but the daily expens...
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