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Two rental car companies are running specials this month. At Johnson's Rentals, customers will pay $50 to rent a mid-sized car for the first day, plus $2 for each additional day (x). At Martinez Rent-a-Car, the price for a mid-sized car is $30 for the first day and $4 for each additional day (x). How many additional days (x) would it cost the same to rent from either company? What is that cost?

Respuesta :

Mithix

Answer:

If we rent the same car from both companies it would take 8 days

Step-by-step explanation:

Johnson's   50+2x

Martinez     30+4x

a) [tex]10[/tex] additional days are required for both to cost the same.

b) The cost is [tex]70[/tex]$.

At Johan's Rental:

Rent[tex]=(50+2x)[/tex]$

At Martinez Rent:

Rent[tex]=(30+4x)[/tex]$

For both the cost same

[tex]50+2x=30+4x[/tex]

[tex]2x-4x=30-50[/tex]

     [tex]-2x=-20[/tex]

         [tex]x=10[/tex]

[tex]\therefore[/tex] [tex]10[/tex] additional days are required for both to cost the same.

Cost[tex]=(50+2x)[/tex]

       [tex]=50+2\times 10[/tex]

       [tex]=50+20[/tex]

       [tex]=70[/tex]

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