Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Aaron’s Total Charge

Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional onetime untaxed fee of $5.00 is charged by the hotel. Represent Aaron’s total charge, in dollars, for staying x nights?

Let me see.

Let T = Aaron’s total charge for staying a certain amount of nights.

We need: 99.95x.

We are told that a tax of 8% is applied to the room rate plus a one time untaxed fee of $5.

I think the equation is T(x) = 0.08(99.95x) + 5.00.

Yes?

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Aaron’s Total Charge

You're rather close here, but note that the question states that a tax of 8% is applied(i.e, added onto) the room rate.  Your equation as currently written would apply a 92% reduction of the hotel rate.
So it should be T(x) = 1.08(99.95x) + 5.00.

EDIT: READ ABOVE AGAIN.

Last edited by Mathegocart (2021-04-19 07:16:18)

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The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Aaron’s Total Charge

You're rather close here, but note that the question states that a tax of 8% is applied(i.e, added onto) the room rate.  Your equation as currently written would apply a 92% tax on the hotel rate.
So it should be T(x) = 1.08(99.95x) + 5.00.

Where did 1.08 come from?

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Aaron’s Total Charge

You're rather close here, but note that the question states that a tax of 8% is applied(i.e, added onto) the room rate.  Your equation as currently written would apply a 92% tax on the hotel rate.
So it should be T(x) = 1.08(99.95x) + 5.00.

Where did 1.08 come from?

1.08 simply means that the rate was increased by a tax of 8%. 1.00 increased by 8% is 1.08.

---

The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

mathland

Member

Registered: 2021-03-25

Posts: 444

Re: Aaron’s Total Charge

You're rather close here, but note that the question states that a tax of 8% is applied(i.e, added onto) the room rate.  Your equation as currently written would apply a 92% tax on the hotel rate.
So it should be T(x) = 1.08(99.95x) + 5.00.

Where did 1.08 come from?

1.08 simply means that the rate was increased by a tax of 8%. 1.00 increased by 8% is 1.08.

Very cool. Very easy. Questions posted are the questions for which the author does not provide a sample for. The rest of the textbook questions I can easily solve.