Question

which situation describes the number line correctly? a the temperature is -4°f and increases 8.5°f b the temperature is -4°f and increases 12.5°f c the temperature is 8.5°f and decreases 4°f d the temperature is 8.5°f and decreases 12.5°f

Explanation:

Step1: Analyze Option A

If the temperature is \(-4^\circ F\) and increases by \(8.5^\circ F\), we calculate the new temperature as \(-4 + 8.5 = 4.5^\circ F\)? Wait, no, wait, maybe the number line is about the temperature change. Wait, let's think about the number line (even though the number line is partially visible, we can infer from the options). Let's check each option's arithmetic.

Step2: Analyze Option B

Temperature is \(-4^\circ F\) and increases by \(12.5^\circ F\): \(-4 + 12.5 = 8.5^\circ F\). Wait, but let's check the other options.

Step3: Analyze Option C

Temperature is \(8.5^\circ F\) and decreases by \(4^\circ F\): \(8.5 - 4 = 4.5^\circ F\). Not matching the number line's possible points.

Step4: Analyze Option D

Temperature is \(8.5^\circ F\) and decreases by \(12.5^\circ F\): \(8.5 - 12.5 = -4^\circ F\). Ah, this makes sense. So starting at \(8.5\), decreasing by \(12.5\) (which is a move of \(12.5\) units left on the number line) lands at \(-4\). Let's verify the arithmetic: \(8.5 - 12.5 = -4\). Yes, that's correct. So Option D describes the situation where the temperature starts at \(8.5^\circ F\) and decreases by \(12.5^\circ F\) to reach \(-4^\circ F\), which would be represented correctly on the number line (moving from \(8.5\) to \(-4\) is a decrease of \(12.5\)).

Answer:

D. The temperature is \(8.5^\circ\)F and decreases \(12.5^\circ\)F