If a Japanese radio priced at 2,000 yen can be purchased for \(\$ 10,\) the exchange rate is a. 200 yen per dollar. b. 20 yen per dollar. c. 20 dollars per yen. d. none of the above.

Short Answer

Expert verified
The exchange rate is 200 yen per dollar, which corresponds to option (a).

Step by step solution

01

Set up the proportion

Let's use x as the exchange rate in yen per dollar. We can set up the proportion: \[\frac{2000 \text{ yen}}{1 \text{ radio}} = \frac{\$ 10}{1 \text{ radio}}\]
02

Solve for x

Now, we can rearrange the equation to solve for x: \[x = \frac{2000 \text{ yen}}{\$ 10}\]
03

Simplify and find the answer

To find the exchange rate, divide the given yen amount by the given dollar amount: \[x = \frac{2000}{10} = 200 \text{ yen per dollar}\] So, the exchange rate is 200 yen per dollar, which corresponds to option (a).

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