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Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters rentals rents a cadillac escalade for $99 for one week plus $0.11per mile over 100 miles. barbarino's rentals has the same vehicle for $75 per week and $0.15 per mile over 150 miles. if its 432 miles to key west, which company has the better deal? How many miles would Glenna drive before she would be spending the same amount at either company?

Respuesta :

Answer:

B rentals is better deal for journey  432 miles

If she spending same money either company  the distance travels in a week is[tex]x=600[/tex] miles

Step-by-step explanation:

Given,

Mr K rentals cars [tex]=\$ 99[/tex] per week  and [tex]\$ .11[/tex] for over 100 miles

B rentals car[tex]=\$ 75[/tex] per week and [tex]\$ .15[/tex] for over 150 miles

Let total journey cost of Glenna  if she travels 432 miles

For Mr, K rentals  is Y

Y=99+.11\times \left ( 432-100\right )

[tex]Y=99+.11\times \left ( 432-100\right )[/tex]

[tex]Y=99+36.52[/tex]

[tex]Y=\$ 135.52[/tex]

For  B rental  journey cost is Z

[tex]Z=75+.15\left ( 432-150 \right )[/tex]

[tex]Z=75+42.3[/tex]

[tex]Z=\$ 117.3[/tex]

If she spending same money either company

x mile she drive in a week

[tex]Y=Z[/tex]

[tex]99+.11\left ( 432-100 \right )x=75+.15\left ( 432-150 \right )x[/tex]

[tex]99-75=.15x-.11x[/tex]

[tex]24=.04x[/tex]

[tex]x=24/.04[/tex]

[tex]x=600[/tex]

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