Math

QuestionHow much is 9,609 Iceland Krona in U.S. Dollars? Round to the nearest dollar. Choose the correct fractions for dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. The cost per night at the Hotel Vik Arctic Comfort is9,609 Iceland Krona (IK) .1 Iceland Krona (IK) is worth0.01174 Canadian Dollars (CAD) 3.1 U.S. Dollar (USD) is worth1.33774 Canadian Dollars (CAD)
4. We want to find out the cost in U.S. Dollars (USD)
5. We will use dimensional analysis to convert the cost from IK to USD6. We will round the final answer to the nearest whole dollar

STEP 2

First, we need to convert the cost from Iceland Krona (IK) to Canadian Dollars (CAD). We can do this by multiplying the cost in IK by the conversion factor from IK to CAD.
CostinCAD=CostinIKtimesConversionfactorfromIKtoCADCost\, in\, CAD = Cost\, in\, IK \\times Conversion\, factor\, from\, IK\, to\, CAD

STEP 3

Now, plug in the given values for the cost in IK and the conversion factor from IK to CAD to calculate the cost in CAD.
CostinCAD=9,609IKtimes0.01174CAD/IKCost\, in\, CAD =9,609\, IK \\times0.01174\, CAD/IK

STEP 4

Calculate the cost in CAD.
CostinCAD=9,609IKtimes0.01174CAD/IK=112.77CADCost\, in\, CAD =9,609\, IK \\times0.01174\, CAD/IK =112.77\, CAD

STEP 5

Next, we need to convert the cost from Canadian Dollars (CAD) to U.S. Dollars (USD). We can do this by multiplying the cost in CAD by the conversion factor from CAD to USD.
CostinUSD=CostinCADtimesConversionfactorfromCADtoUSDCost\, in\, USD = Cost\, in\, CAD \\times Conversion\, factor\, from\, CAD\, to\, USD

STEP 6

Now, plug in the given values for the cost in CAD and the conversion factor from CAD to USD to calculate the cost in USD.
CostinUSD=112.77CADtimes1USD/1.33774CADCost\, in\, USD =112.77\, CAD \\times1\, USD/1.33774\, CAD

STEP 7

Calculate the cost in USD.
CostinUSD=112.77CADtimes1USD/1.33774CAD=84.27USDCost\, in\, USD =112.77\, CAD \\times1\, USD/1.33774\, CAD =84.27\, USD

STEP 8

Finally, round the cost in USD to the nearest whole dollar.
CostinUSD=round(84.27USD)=84USDCost\, in\, USD = round(84.27\, USD) =84\, USDThe cost of a night at the Hotel Vik Arctic Comfort is $84 in U.S. Dollars.
The three fractions that are multiplied together to calculate the solution using dimensional analysis are1. 960IK/1960 \mathrm{IK} /1
2. 0.01174CAD/1IK0.01174 \mathrm{CAD} /1 \mathrm{IK} 3.1 USD/1.33774 CAD

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