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Your family is planning a vacation for spring break and want to get the best deal. Option
A costs $479 per night and includes airfare in the cost. Option B costs $129 per night
but will cost your family $1750 in airfare. How many nights will your family have to stay
in order for the vations to cost the same amount of money?

Respuesta :

Answer:

Step-by-step explanation:

5 nights

The family have to stay 5 nights in order  to cost the same amount of money.

Function in one variable:

Let us consider that family is staying for x night.

Given that, Option A costs $479 per night and includes airfare in the cost.

So that,         [tex]A(x)=479x[/tex]

Also Option B costs $129 per night but will cost your family $1750 in airfare.

So that,      [tex]B(x)=129x+1750[/tex]

for the cost of same amount of money,

              [tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]

The family have to stay 5 nights in order  to cost the same amount of money.

Learn more about the linear function here:

https://brainly.com/question/15602982

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