26. Financial Literacy Theo, who lives in the United States, is planning a trip to Berlin, Germany. Before the trip, he goes to his bank to exchange dollars for euros. The bank offers the exchange rate shown. The symbol for euros is 6 .) A. Write an equation that gives the number \( E \) of curos Theo receives as a function of the number D of dollars he exchanges. B. Write an equation for the inverse of the function from Part A. C. When Theo returns from his trip, he still has 6300 . If he exchanges his euros for dollars at the exchange rate shown, how many dollars will he receive?

To tackle Theo's currency exchange, let's break it down step by step! For part A, if the exchange rate is \( R \) euros for every dollar, then the equation expressing euros received \( E \) as a function of dollars exchanged \( D \) would be: \[ E = R \times D \] For part B, the inverse function would be exchanging euros back to dollars. The equation would be: \[ D = \frac{E}{R} \] For part C, if Theo exchanges his 6300 euros back to dollars using the same exchange rate \( R \), he will receive: \[ D = \frac{6300}{R} \] If we assume an example exchange rate of \( R = 0.85 \), substituting this into the equation gives Theo about \( D \approx 7411.76 \) dollars after conversion! Now Theo can enjoy his time in Berlin with a better understanding of currency exchange!