Answered

Executive Limousine rentals charges an initial fee of $200 and $40 per hour that the limousine is in service. Jet Limousine rentals charges an intial fee of $120 and $50 per hour that the limosine is in service. At how many hours of service do the two limousine rental companies charge the same amount?

Answer :

absor201

At 8 hours of service, the two limousine rental companies charge the same amount.

Step-by-step explanation:

Given,

Initial fee of Executive Limousine rental = $200

Per hour charges of service = $40

Let,

x be the number of hours.

E(x) = 40x+200

Initial fee of Jet Limousine rental = $120

Per hour charges of service = $50

J(x) = 50x + 120

For the charges to be same;

E(x) = J(x)

[tex]40x+200=50x+120\\200-120=50x-40x\\80=10x\\10x=80[/tex]

Dividing both sides by 10

[tex]\frac{10x}{10}=\frac{80}{10}\\x=8[/tex]

At 8 hours of service, the two limousine rental companies charge the same amount.

Keywords: function, addition

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