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Inessa [10]
2 years ago
9

Explain how using systems of equations might help you find a better deal on renting a car.

Mathematics
1 answer:
Alona [7]2 years ago
5 0

Answer:

See explanation

Step-by-step explanation:

Using systems of equations <u>will </u>help you find a better deal on renting a car.

Let's use these two equations as an example.

Company A. y=50x+120 where 120 is how much it costs to rent the vehicle and 50 is the rate per day. If you use company A, you will pay $50+$120= $170 for the first day, $220 for two days, etc...

Company B. y=40x+150 where 150 is how much it costs to rent the vehicle and 40 is the rate per day. If you use company B, you will pay $40+$150= $190 for the first day, $230 for two days, etc...

Now you have to take this into consideration - how long you're renting the vehicle for.

  • If you rent a car for two days, it'll cost $220 with Company A and $230 with Company B
  • If you rent a car for three days, it'll cost $270 with Company A and $270 with Company B.
  • If you rent a car for four days, it'll cost $320 with Company A and $310 with Company B.

As you can see, at first Company A seems to have the better deal because of its low cost to rent a car, but it has a higher fee per day. Company B had a higher cost to rent a car initially, but the driver will pay a lower fee a day. Using Company A is beneficial for those who desire to rent a car for less than three days and Company B would be cheaper for those renting more than three days.

<u>By using system of equation,</u> you can determine the better deal according to the length of rental by comparing the initial cost and daily rental fee.

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suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
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Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
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