®HiSET Math Practice Test Free

Rationale

5/9(F - 32) correctly represents the temperature in degrees Celsius.

This expression is derived from rearranging the formula for converting Fahrenheit to Celsius, allowing us to isolate C on one side of the equation. A) This choice correctly manipulates the original equation F = 9/5C + 32 to solve for C. By subtracting 32 from both sides and then multiplying by 5/9, we arrive at C = 5/9(F - 32), which accurately represents the temperature in degrees Celsius. B) This option suggests a linear transformation of F that erroneously subtracts 32 from the result of 5/9F. This does not align with the conversion formula and fails to account for the necessary adjustments to isolate C correctly. C) This expression misrepresents the relationship by multiplying the entire (F - 32) term by 9/5 instead of 5/9. This fundamentally alters the conversion and does not yield the correct Celsius temperature. D) This choice adds 32 to F before multiplying by 9/5, which contradicts the initial equation. The operation would incorrectly inflate the temperature rather than convert it to Celsius. E) This option incorrectly adds 32 to the product of 9/5F, suggesting an inaccurate relationship between Fahrenheit and Celsius. The addition of 32 should only be applied after the conversion to Celsius, not during. Conclusion To convert temperatures from Fahrenheit to Celsius, the formula requires rearrangement of the original equation. The correct expression, 5/9(F - 32), effectively isolates C, providing an accurate representation of temperature in degrees Celsius. Other options misinterpret the formula, leading to incorrect results. Understanding this conversion process is crucial for accurate temperature measurement across different scales.