Final answer:
To find the coldest temperature recorded in Florida, you can set up the equation 100 = 4x + 16, where x is the coldest temperature. By solving this equation, we find that the coldest temperature was 21 degrees Fahrenheit.
Step-by-step explanation:
The student is asking for the equation to find the coldest temperature recorded in Florida given that the record high was 100 degrees Fahrenheit and this was 16 degrees warmer than four times the coldest temperature.
To write the equation, we let the variable x represent the coldest temperature. The relationship given can be translated into the algebraic equation:
100 = 4x + 16.
To solve for x, we need to isolate the variable by performing inverse operations.
Subtracting 16 from both sides of the equation gives us 84 = 4x, and then dividing both sides by 4 gives us the coldest temperature x = 21 degrees Fahrenheit.