Question

2020
unit 1 quiz 1 (p10,qa 2b,2c)

1. complete the following sentence with a number. the answer should be greater than 1.

a gram is ____ times as large as a milligram.
a gram is ____ times as large as a milligram.
(type an integer or a decimal.)
id: 2.a.57

1. use the sample currency - exchange rates given in the table to answer the following question. state all of the conversion factors that you use.

currency dollars per foreign foreign per dollar
british pound 1.414 0.7072
canadian dollar 0.7834 1.277
european euro 1.256 0.7965
japanese yen 0.01007 99.34
mexican peso 0.06584 15.19
an 0.9 - liter bottle of mexican wine costs 280 pesos. what is the price in dollars per ounce?

Explanation:

Step1: Recall metric - unit conversion

We know that 1 gram (g) = 1000 milligrams (mg). To find out how many times a gram is larger than a milligram, we divide the mass of a gram by the mass of a milligram.
Let \(x=\frac{1\ g}{1\ mg}\). Since \(1\ g = 1000\ mg\), then \(x=\frac{1000\ mg}{1\ mg}=1000\).

Step2: Solve the currency - conversion problem

1. First, convert liters to ounces. We know that 1 liter = 33.814 ounces. So, for a 0.9 - liter bottle, the volume in ounces is \(V = 0.9\times33.814=30.4326\) ounces.
2. Then, convert pesos to dollars. The exchange rate is 1 Mexican peso = 0.06584 dollars. The cost of the wine in dollars is \(C = 280\times0.06584 = 18.4352\) dollars.
3. Finally, find the price in dollars per ounce. The price per ounce \(P=\frac{18.4352}{30.4326}\approx0.606\) dollars per ounce.

Answer:

1. 1000
2. The price is approximately 0.606 dollars per ounce. The conversion factors used are: 1 liter = 33.814 ounces and 1 Mexican peso = 0.06584 dollars.