3.5.1: Preparation 3.5

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It is often necessary to change money into different currencies when traveling or doing business in different countries. Exchange rates, which change constantly, are used to make these conversions. Consider the following situation. Sonia is traveling to Mexico. Answer the following questions about her trip.

(1) Sonia starts with $100 in cash and changes it into pesos at a rate of 1 peso = $0.055. Which of the following would be a correct way to use dimensional analysis to make this conversion?

(i) $$100 \cdot \dfrac{$0.055}{1\;peso}$

(ii) $$100 \cdot \dfrac{1\;peso}{$0.055}$

(iii) $\dfrac{1}{$100} \cdot \dfrac{1\;peso}{$0.055}$

(iv) $\dfrac{1}{$100} \cdot \dfrac{$0.055}{1\;peso}$

(2) After converting her $100 to pesos, Sonia spends 984 of her pesos while in Mexico. She converts her remaining pesos back into dollars. How many dollars does she have? Round to the nearest dollar.

After Preparation 3.5 (survey)

You should be able to do the following things for the next collaboration. Rate how confident you are on a scale of 1–5 (1 = not confident and 5 = very confident).

Before beginning Collaboration 3.5, you should understand the concepts and demonstrate the skills listed below.

Skill or Concept: I can …	Rating from 1 to 5
use dimensional analysis to make conversions.
understand the use of variables in formulas.
evaluate expressions and formulas.

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