QuestionA night at Barefoot Cay Resort costs 3,915 HL. Convert to USD using $1 = 21.4 HL. Round to nearest dollar. Choose two fractions for dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. The cost of a night at the Barefoot Cay Resort in Roatan, Honduras is3,915 Honduran Lempiras (HL) . The exchange rate is1 U.S. dollar (USD) =21.4 Honduran Lempiras (HL)
3. We want to find the equivalent cost in U.S. dollars4. We need to round our answer to the nearest dollar

STEP 2

We can use the concept of dimensional analysis to solve this problem. Dimensional analysis is a method of computation used in physics and chemistry, which involves the use of conversion factors to change one unit of measure into another.
The conversion factor in this case is the exchange rate, which is1 USD =21.4 HL.

STEP 3

We can set up a fraction with the cost in Honduran Lempiras on top and the exchange rate on the bottom. This will allow the units of Honduran Lempiras to cancel out, leaving us with the cost in U.S. dollars.
$\frac{Cost\, in\, HL}{Exchange\, rate} = \frac{3,915\, HL}{1\, USD/21.\, HL}$

STEP 4

Next, we need to multiply the cost in Honduran Lempiras by the reciprocal of the exchange rate. This is because when we divide by a fraction, it's the same as multiplying by its reciprocal.
$\frac{3,915\, HL}{1\, USD/21.4\, HL} =3,915\, HL \times \frac{21.4\, HL}{1\, USD}$

STEP 5

Now, we can cancel out the units of Honduran Lempiras.
$3,915\, HL \times \frac{21.4\, HL}{1\, USD} =3,915 \times \frac{21.4}{1}\, USD$

STEP 6

Calculate the cost in U.S. dollars.
$3,915 \times \frac{21.4}{1}\, USD =183.42\, USD$

STEP 7

Finally, we need to round our answer to the nearest dollar. $183.42\, USD \approx183\, USD$ The equivalent cost in U.S. dollars is approximately $183.

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QuestionA night at Barefoot Cay Resort costs 3,915 HL. Convert to USD using $1 = 21.4 HL. Round to nearest dollar. Choose two fractions for dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. The cost of a night at the Barefoot Cay Resort in Roatan, Honduras is3,915 Honduran Lempiras (HL) . The exchange rate is1 U.S. dollar (USD) =21.4 Honduran Lempiras (HL)
3. We want to find the equivalent cost in U.S. dollars4. We need to round our answer to the nearest dollar

STEP 2

STEP 3

We can set up a fraction with the cost in Honduran Lempiras on top and the exchange rate on the bottom. This will allow the units of Honduran Lempiras to cancel out, leaving us with the cost in U.S. dollars.
$\frac{Cost\, in\, HL}{Exchange\, rate} = \frac{3,915\, HL}{1\, USD/21.\, HL}$

STEP 4

Next, we need to multiply the cost in Honduran Lempiras by the reciprocal of the exchange rate. This is because when we divide by a fraction, it's the same as multiplying by its reciprocal.
$\frac{3,915\, HL}{1\, USD/21.4\, HL} =3,915\, HL \times \frac{21.4\, HL}{1\, USD}$

STEP 5

Now, we can cancel out the units of Honduran Lempiras.
$3,915\, HL \times \frac{21.4\, HL}{1\, USD} =3,915 \times \frac{21.4}{1}\, USD$

STEP 6

Calculate the cost in U.S. dollars.
$3,915 \times \frac{21.4}{1}\, USD =183.42\, USD$

STEP 7

Finally, we need to round our answer to the nearest dollar. $183.42\, USD \approx183\, USD$ The equivalent cost in U.S. dollars is approximately $183.

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QuestionA night at Barefoot Cay Resort costs 3,915 HL. Convert to USD using $1 = 21.4 HL. Round to nearest dollar. Choose two fractions for dimensional analysis.

Studdy Solution

STEP 1

Assumptions1. The cost of a night at the Barefoot Cay Resort in Roatan, Honduras is3,915 Honduran Lempiras (HL) . The exchange rate is1 U.S. dollar (USD) =21.4 Honduran Lempiras (HL)3. We want to find the equivalent cost in U.S. dollars4. We need to round our answer to the nearest dollar

STEP 2

STEP 3

STEP 4

STEP 5

Now, we can cancel out the units of Honduran Lempiras.3,915 HL×21.4 HL1 USD=3,915×21.41 USD3,915\, HL \times \frac{21.4\, HL}{1\, USD} =3,915 \times \frac{21.4}{1}\, USD3,915HL×1USD21.4HL​=3,915×121.4​USD

STEP 6

Calculate the cost in U.S. dollars.3,915×21.41 USD=183.42 USD3,915 \times \frac{21.4}{1}\, USD =183.42\, USD3,915×121.4​USD=183.42USD

STEP 7

Finally, we need to round our answer to the nearest dollar.183.42 USD≈183 USD183.42\, USD \approx183\, USD183.42USD≈183USDThe equivalent cost in U.S. dollars is approximately $183.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The cost of a night at the Barefoot Cay Resort in Roatan, Honduras is3,915 Honduran Lempiras (HL) . The exchange rate is1 U.S. dollar (USD) =21.4 Honduran Lempiras (HL)
3. We want to find the equivalent cost in U.S. dollars4. We need to round our answer to the nearest dollar

Now, we can cancel out the units of Honduran Lempiras.
$3,915\, HL \times \frac{21.4\, HL}{1\, USD} =3,915 \times \frac{21.4}{1}\, USD$

Calculate the cost in U.S. dollars.
$3,915 \times \frac{21.4}{1}\, USD =183.42\, USD$

Finally, we need to round our answer to the nearest dollar. $183.42\, USD \approx183\, USD$ The equivalent cost in U.S. dollars is approximately $183.