Chapter 9 - XYZ Custom Plus

564
Chapter 9 Solving Equations and Inequalities
We have mentioned the two temperature scales, Fahrenheit and Celsius. Table 1 is intended to give you a more intuitive
idea of the relationship between the two temperatures scales.
Table 1
Comparing Two Temperature Scales
Temperature Temperature
Situation (Fahrenheit) (Celsius)
Water freezes 32°F 0°C
Room temperature 68°F 20°C
Normal body temperature 98} 3 }°F 37°C
5
Water boils 212°F 100°C
Bake cookies 365°F 185°C
Table 2 gives the formulas, in both symbols and words, that are used to convert between the two scales.
Table 2
Formulas for Converting Between Temperature Scales
To Convert From formula In Symbols Formula In Words
Fahrenheit to Celsius C 5 } 5 9 }(F 2 32) Subtract 32, then multiply by }5 9 }.
Celsius to Fahrenheit F 5 } 9 5 }C 1 32 Multiply by }9 }, then add 32.
5
19. Let F 5 212 in the formula C 5 } 5 }(F 2 32), and solve for
9
C. Does the value of C agree with the information in
Table 1?
20. Let C 5 100 in the formula F 5 } 9 }C 1 32, and solve for F.
5
Does the value of F agree with the information in Table
1?
21. Let F 5 68 in the formula C 5 } 5 }(F 2 32), and solve for C.
9
Does the value of C agree with the information in Table
1?
22. Let C 5 37 in the formula F 5 } 9 }C 1 32, and solve for F.
5
Does the value of F agree with the information in Table
1?
23. Find C when F is 32°.
24. Find C when F is 24°.
25. Find F when C is 215°.
26. Find F when C is 35°.