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QuestionWhat is Maria's total hotel charge for xx nights, given a nightly rate of \99.95,8Options:<br/>1.99.95, 8% tax, and a \$5 fee? Options: <br />1. (99.95+0.08 x)+5<br/>2. <br />2. 1.08(99.95 x)+5<br/>3. <br />3. 1.08(99.95 x+5)<br/>4. <br />4. 1.08(99.95+5) x$

Studdy Solution

STEP 1

Assumptions1. The hotel charges 99.95pernightbeforetax..Thetaxrateis899.95 per night before tax. . The tax rate is8%.<br />3. An additional one-time untaxed fee of 5.00 is charged by the hotel.
4. Maria is staying for xx nights.

STEP 2

First, we need to find the total room charge per night after tax. We can do this by multiplying the room rate by the tax rate and then adding the result to the original room rate.
Room charge after tax=Room rate+(Room ratetimesTax rate)Room\, charge\, after\, tax = Room\, rate + (Room\, rate \\times Tax\, rate)

STEP 3

Now, plug in the given values for the room rate and tax rate to calculate the room charge after tax.
Room charge after tax=$99.95+($99.95times8%)Room\, charge\, after\, tax = \$99.95 + (\$99.95 \\times8\%)

STEP 4

Convert the percentage to a decimal value.
8%=0.088\% =0.08Room charge after tax=$99.95+($99.95times0.08)Room\, charge\, after\, tax = \$99.95 + (\$99.95 \\times0.08)

STEP 5

Calculate the room charge after tax.
Room charge after tax=$99.95+($99.95times0.08)=$107.95Room\, charge\, after\, tax = \$99.95 + (\$99.95 \\times0.08) = \$107.95

STEP 6

Now that we have the room charge per night after tax, we can find the total charge for xx nights. This includes the room charge for xx nights and the one-time untaxed fee.
Total charge=(Room charge after taxtimesNumber of nights)+One−time feeTotal\, charge = (Room\, charge\, after\, tax \\times Number\, of\, nights) + One-time\, fee

STEP 7

Plug in the values for the room charge after tax, the number of nights, and the one-time fee to calculate the total charge.
Total charge=($107.95timesx)+$5.00Total\, charge = (\$107.95 \\times x) + \$5.00Therefore, the correct expression that represents Maria's total charge, in dollars, for staying xx nights is1.08(99.95x)+51.08(99.95 x)+5

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