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QuestionMaria's hotel charge for xx nights is represented by which formula? $99.95\$ 99.95 night + 8%8\% tax + $5.00\$ 5.00 fee.

Studdy Solution

STEP 1

Assumptions1. The hotel room rate per night is 99.95.Thetaxrateis899.95. The tax rate is8%<br />3. There is an additional one-time untaxed fee of 5.004. Maria is staying for xx nights5. The tax is applied only to the room rate, not the one-time fee

STEP 2

First, we need to calculate the total room rate for xx nights before tax. This can be done by multiplying the room rate per night by the number of nights.
Total room rate=Room rate per nighttimesNumber of nightsTotal\, room\, rate = Room\, rate\, per\, night \\times Number\, of\, nights

STEP 3

Substitute the given values into the equation.
Total room rate=$99.95timesxTotal\, room\, rate = \$99.95 \\times x

STEP 4

Next, we need to calculate the tax on the room rate. This can be done by multiplying the total room rate by the tax rate.
Tax=Total room ratetimesTax rateTax = Total\, room\, rate \\times Tax\, rate

STEP 5

Convert the percentage to a decimal value.
8%=0.088\% =0.08Tax=$99.95xtimes0.08Tax = \$99.95x \\times0.08

STEP 6

Now, we need to calculate the total room rate including tax. This can be done by adding the tax to the total room rate.
Total room rate including tax=Total room rate+TaxTotal\, room\, rate\, including\, tax = Total\, room\, rate + Tax

STEP 7

Substitute the values into the equation.
Total room rate including tax=$99.95x+$99.95xtimes0.08Total\, room\, rate\, including\, tax = \$99.95x + \$99.95x \\times0.08

STEP 8

implify the equation.
Total room rate including tax=$99.95xtimes(1+0.08)Total\, room\, rate\, including\, tax = \$99.95x \\times (1 +0.08)

STEP 9

Calculate the total charge for Maria's stay. This includes the total room rate including tax and the one-time fee.
Total charge=Total room rate including tax+One − time feeTotal\, charge = Total\, room\, rate\, including\, tax + One\,-\,time\, fee

STEP 10

Substitute the values into the equation.
Total charge=$99.95xtimes.08+$5.00Total\, charge = \$99.95x \\times.08 + \$5.00So, the total charge for Maria's stay, in dollars, for staying xx nights is .08(99.95x)+5.08(99.95x)+5.

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