Question 5 (Essay Worth 5 points)
(01.02 MC)

The cost of the five most popular items at an airport gift shop include a [tex]\$10.99[/tex] decorative mug, a [tex]\$3.99[/tex] postcard, a [tex]\$4.59[/tex] keychain, a [tex]\$16.29[/tex] t-shirt, and a [tex]\$8.89[/tex] teddy bear. Everleigh is interested in seeing the cost of the items in another currency. The most current currency conversion rates for 1 U.S. dollar are the following:

\begin{tabular}{|l|l|l|}
\hline
Country & Name of Currency & Exchange Rate \\
\hline
China & Yuan & 6.4651 \\
\hline
Denmark & Krone & 6.3394 \\
\hline
Sweden & Krona & 8.6964 \\
\hline
\end{tabular}

Choose one airport gift shop souvenir and one country. Convert the cost of the chosen souvenir into the currency of that country. Show all necessary mathematical calculations.



Answer :

Let's address the problem step-by-step to find out the cost of one selected airport gift shop souvenir in the currency of a chosen country.

Given data:
- Prices of souvenirs at the airport gift shop:
- Decorative mug: \[tex]$10.99 - Postcard: \$[/tex]3.99
- Keychain: \[tex]$4.59 - T-shirt: \$[/tex]16.29
- Teddy bear: \[tex]$8.89 - Currency exchange rates: - 1 U.S. dollar (USD) = 6.4651 Chinese yuan (CNY) - 1 U.S. dollar (USD) = 6.3394 Danish krone (DKK) - 1 U.S. dollar (USD) = 8.6964 Swedish krona (SEK) Step-by-step solution: 1. Select a souvenir: Let's choose a decorative mug that costs \$[/tex]10.99 USD.

2. Choose a country: Let's choose China, where the currency is the Chinese yuan (CNY).

3. Identify the exchange rate: The exchange rate for USD to CNY is [tex]\(6.4651\)[/tex].

4. Convert the cost of the souvenir into the selected currency:
- The cost of the decorative mug in USD: \[tex]$10.99. - Exchange rate: 1 USD = 6.4651 CNY. - To convert the cost into yuan, multiply the cost in USD by the exchange rate. So, the calculation will be: \[ \text{Cost in CNY} = \text{Cost in USD} \times \text{Exchange Rate} \] \[ \text{Cost in CNY} = 10.99 \times 6.4651 \] 5. Calculate the result: \[ 10.99 \times 6.4651 = 71.05144899999999 \] Therefore, the cost of the decorative mug in Chinese yuan (CNY) is approximately \( 71.05 \) yuan, rounded to two decimal places. In summary, if Everleigh buys the decorative mug for \$[/tex]10.99 USD, it would cost her approximately [tex]\( 71.05 \)[/tex] Chinese yuan (CNY) after conversion.