�
=
5
9
(
�
−
32
)
The equation above shows how temperature
�
, measured in degrees Fahrenheit, relates to a temperature
�
, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
marley j -- you really need to learn how to type useful text.
I apologize for any confusion caused. Let me rephrase the answer more clearly:
According to the equation, a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
The equation given relates Fahrenheit temperature (F) to Celsius temperature (C). The equation is as follows:
F = (9/5 * C) + 32
Now let's look at each statement and determine if it is true:
Statement 1: A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59/9 degree Celsius.
To determine if this is true, we can compare the change in Fahrenheit temperature (ΔF) to the change in Celsius temperature (ΔC) using the equation.
ΔF = (9/5 * ΔC)
If we plug in ΔF = 1, we get:
1 = (9/5 * ΔC)
To solve for ΔC, we divide both sides of the equation by (9/5):
ΔC = (1 * 5/9) = 5/9
So, a temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
Therefore, Statement 1 is true.
Statement 2: A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
To determine if this is true, we can again compare the change in Fahrenheit temperature (ΔF) to the change in Celsius temperature (ΔC) using the equation.
ΔF = (9/5 * ΔC)
If we plug in ΔC = 1, we get:
ΔF = (9/5 * 1) = 9/5
So, a temperature increase of 1 degree Celsius is equivalent to a temperature increase of 9/5 degrees Fahrenheit, which is approximately 1.8 degrees Fahrenheit.
Therefore, Statement 2 is true.
Statement 3: A temperature increase of 59/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
To determine if this is true, we can plug in ΔF = 59/9 and solve for ΔC using the equation:
59/9 = (9/5 * ΔC)
To solve for ΔC, we divide both sides of the equation by (9/5):
ΔC = (59/9 * 5/9) = 59/81 (approximately)
Therefore, a temperature increase of 59/9 degree Fahrenheit is NOT equivalent to a temperature increase of 1 degree Celsius.
Therefore, Statement 3 is false.
In conclusion, based on the equation given, Statements 1 and 2 are true, while Statement 3 is false.