Question

Functions that "undo" each other are called inverse functions. Start with 35 °C and use the first formula to find a value of F. Then use this value of F in the second formula to find a value of C. What happens?

a) F and C are equal
b) F and C are not equal
c) The relationship between F and C is linear
d) This question does not require any options.

Answer 1

To find the relationship between Fahrenheit and Celsius temperatures using two conversion formulas and determine if the temperatures are equal.

Step-by-step explanation:

The question asks us to start with 35°C and use the first formula to find a value of F. Then, we use this value of F in the second formula to find a value of C. The first formula for Fahrenheit to Celsius conversion is F = (9/5)C + 32. So, we can plug in 35 for C and solve for F. F = (9/5) * 35 + 32 = 95°F. Now, we can use the second formula to find the corresponding value of C. The second formula is C = (5/9)(F - 32). Plugging in 95 for F, we get C = (5/9)(95 - 32) = 35°C. Since the resulting value of C is the same as the starting value, we can conclude that F and C are equal in this case. Therefore, the answer is option a) F and C are equal.