Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
1. Relations and Functions
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Exercise 33 Page 66

Practice makes perfect
a We are given a relation between degrees Fahrenheit F and degrees Celsius C.

F=9/5C+32

To find the unknown measures in each ordered pair, we have to make a substitution for either F or C, depending on which value is missing. We have to find the missing measure for F in the following ordered pair.
(43,m) Since the first value represents degrees in Celsius C, we will substitute 43 for C in our relation.

F=9/5C+32
F=9/5( 43)+32
F=387/5+32
F=77.4+32
F=109.4

Therefore, 43 degrees Celsius is equal to 109.4 Fahrenheit, which was the unknown value m.

b We want to find the missing measure for F in the following ordered pair.
(-12,n) Since the first value represents degrees in Celsius C, we will substitute -12 for C in our relation.

F=9/5C+32
F=9/5( -12)+32
F= -108/5+32
F=-21.6+32
F=10.4

Therefore, -12 degrees Celsius is equal to 10.4 Fahrenheit, which was the unknown value n.

c We want to find the missing measure of C in the following ordered pair.
(p,12) Since the second value represents degrees in Fahrenheit F, we will substitute 12 for F in our relation.

F=9/5C+32
12=9/5C+32
-20=9/5C
-20=9C/5
-100 = 9C
-100/9= C
-11.111111 ... =C
-11.1 ≈ C
C≈ -11.1

Therefore, 12 degrees Fahrenheit is equal to -11.1 Celsius, which was the unknown value p.

d We have to find the missing measure of C in the following ordered pair.
(q,19) Since the second value represents degrees in Fahrenheit F, we will substitute 19 for F in our relation.

F=9/5C+32
19=9/5C+32
-13=9/5C
-13=9C/5
-65=9C
-65/9=C
-7.222222 ... = C
-7.2 ≈ C
C≈ -7.2

Therefore, 19 degrees Fahrenheit is equal to -7.2 Celsius, which was the unknown value q.