Create a formula for converting degress centigrade, C, to degrees Fahrenheit, F, if for every increase of 5 degrees centigrade the Fahrenheit temperature increased by 9 degrees, with an initial point of (C,F)= (0,32)
Enter the exact answer.
F=_________
F = 9/5 C + 32
increases*
HINT: y=b+mx
To create the formula for converting degrees Celsius, C, to degrees Fahrenheit, F, we need to establish the relationship between the two temperature scales.
Given that for every increase of 5 degrees Celsius, the Fahrenheit temperature increases by 9 degrees, we can determine the formula based on this relationship.
Let's break down the conversion process step by step:
Step 1: Determine the temperature difference between the initial point (0°C, 32°F) and the desired point (C°C, F°F).
The temperature difference in degrees Celsius would be C - 0 = C.
The temperature difference in degrees Fahrenheit would be F - 32.
Step 2: Determine the temperature ratio between the temperature differences.
Since the Celsius temperature increases by 5 degrees for every 9-degree increase in Fahrenheit temperature, the temperature ratio can be determined as follows:
C ÷ 5 = (F - 32) ÷ 9.
Step 3: Rearrange the formula to solve for F.
To isolate F on one side of the equation, multiply both sides of the equation by 9:
9(C ÷ 5) = F - 32.
Simplify the equation:
9C ÷ 5 = F - 32.
Now, isolate F by adding 32 to both sides of the equation:
9C ÷ 5 + 32 = F.
The formula for converting degrees Celsius to degrees Fahrenheit is:
F = (9C ÷ 5) + 32.
Therefore, the exact answer is:
F = (9C ÷ 5) + 32.