High School

The temperature of a chemical sample decreases by \(\frac{1}{4}^\circ C\) every hour. The change in temperature at a certain time is represented by the following equation:

\[
\left(-\frac{1}{4}\right) \times (-8) = 2
\]

What does 2 represent in the equation?

1. The temperature 8 hours from now will be 2 degrees higher.
2. The temperature 8 hours ago was 2 degrees higher.
3. The temperature 8 hours from now will be 2 degrees lower.
4. The temperature 8 hours ago was 2 degrees lower.

Answer :

Final answer:

The equation (-1/4)x(-8)=2 represents a decrease in temperature over time, and the value 2 in the equation signifies that the temperature 8 hours ago was 2 degrees lower.

Explanation:

The equation (-1/4)x(-8)=2 represents the change in temperature at a certain time. The given equation shows that the temperature decreases by 1/4 degree Celsius every hour. By plugging in the value of x as -8, we can find the change in temperature at that specific time, which in this case is 2 degrees lower. Therefore, the correct answer is option 4: The temperature 8 hours ago was 2 degrees lower.

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Answer:

the temperature 8 hours ago was 2 degrees higher

Step-by-step explanation:

(-1/4) x (-8) = 8 hours ago
2 = degrees

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