In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius (or centigrade) scale, water freezes at 0°C and boils at 100°C. Assuming that the Fahrenheit temperature F and the Celsius temperature C are related by a linear equation, find the Fahrenheit temperature that correspond to 26°C, to the nearest degree.
A)46°F
B) 104°F
C) 79°F
D) 47°F
E) 58°F

Question

In the Fahrenheit temperature scale, water freezes at 32°F and boils at 212°F. In the Celsius (or centigrade) scale, water freezes at 0°C and boils at 100°C. Assuming that the Fahrenheit temperature F and the Celsius temperature C are related by a linear equation, find the Fahrenheit temperature that correspond to 26°C, to the nearest degree. ​
A)​46°F
B) 104°F
C) 79°F
D) 47°F
E) 58°F

Quizplus · Accepted Answer

Since we are looking for a linear equation relating Fahrenheit and Celsius temperatures, we can use the formula:

F = (9/5)C + 32

Substituting C = 26°C:

F = (9/5)(26) + 32
F ≈ 78.8°F

To the nearest degree, the Fahrenheit temperature that corresponds to 26°C is 79°F. Therefore, the best choice is C.

In the Fahrenheit Temperature Scale, Water Freezes at 32°F and Boils