You saved a bunch of money up took a trip to France with plans to then travel to

Question

You saved a bunch of money up took a trip to France with plans to then travel to Mexico. You arrived in France and converted $4000 to euros. You spent 1500 euros after shopping and site seeing. When you arrived in Mexico, you realized that euros cannot be spent in Mexico so you converted those remaining Euros to Pesos. How many pesos did you have spending in Mexico? Answer this question using functions and composition of functions. You used for your information. conversions: 1 Dollar = ___Euros 1 Euro =___Pesos Source of Conversion rates:___ What would the function describing each currency exchange be? (Notice, this question is not looking for the actual value, rather the conversion factor in the form of a function) dollars to euros E(D) = pesos to euros P(E) = USING THE FUNCTION ABOVE AND FUNCTION NOTATION calculate the amount of Euros you would Start with. USING THE FUNCTION ABOVE AND FUNCTION NOTATION, how many Pesos will you have left to spend in Mexico after spending money in Europe? Using C0MPOSITION OF FUNCTIONS, how many pesos would you have had if you had gone only to Mexico based on the conversion factors that you found while doing this assignment? Write the composition in function notation and then use the composed function to calculate the amount of Pesos. P(D) = P(4000) =

Explanation / Answer

1 dollar - 0.93 euro ; 1 euro - 20.59 peso

Dollars to euros : E(D) =0.93D

4000 dollars = 0.93*4000 = 3720 euro

Remaining Euro = 3720 - 1500 = 2220 euros

Euros to Peso : P(E) = 20.59E

= 222*20.59 = 45709.8 pesos

If 4000 dollars to Peso : P(D) = E(D)*P(E) = 0.93D*20.59 = 19.15D = 19.15*4000 = 76594.8 PESOS

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