Page 54 - Algebra 1

Unit analysis can be used for more than just converting units of length. It can also be used to convert units of mass, density, temperature, capacity, or even money. In economics, the value of money is defined by what people are willing to exchange for it. This means that the value of a currency can change relative to the value of other currencies. An exchange-rate listing shows what a currency is worth compared to other currencies at that moment.
Foreign Travel: Converting Units of Currency
Jared and his family are going on a vacation to Europe. He takes $225 with him. He needs to exchange this amount for its equivalent value in euros. If the current exchange rate is 1 euro = $1.36, what is the value of Jared’s $225 in euros?
Example
4
SOLUTION
Convert the unit of measure. 225 dollars ? euros
1 euro = 1.36 dollars
1.36 dollars _ _
225 dollars · 1 euro 1.36 dollars
= 165.44 euros
Check Sinceaeuroisworthmorethanadollar,Jaredshouldhavefewer
euros than dollars after the exchange.
225 > 165.44 The answer is reasonable.
Hint
Choose a unit conversion factor that cancels the units you want to change and replaces them with the units you want.
1 euro __
Write the conversion. Equate units.
Write a unit ratio.
Write the multiplication sentence.
Multiply and cancel.
Lesson Practice
a.
(Ex 1)
b.
(Ex 2)
c.
(Ex 3)
d.
(Ex 4)
A Mourning Dove can reach speeds up to 35 miles per hour. How fast is this in feet per hour?
An interior wall measures 4.5 yards by 3.25 yards. What is the size of the wall in square feet?
Della has a small bag containing 50 cubic centimeters of potting soil. Her planter has a volume of 46,300 cubic millimeters. Does Della have enough soil to fill the planter? Explain.
Arthur just returned from London. He has 16 British pounds to convert to American dollars. If the exchange rate is 1 pound = $2.016, what is the value of Arthur’s 16 pounds in dollars?
Lesson 8 39