Question

the table shows the highest and lowest recorded temperatures for 5 consecutive months. which months had temperature differences that were less than half the temperature difference of october? september, december, january november, december september, december september, november, december high and low temperatures month high low september 84°f 72°f october 82°f 46°f november 60°f 42°f december 41°f 26°f january 34°f 10°f

Explanation:

Step1: Calculate October's temperature difference

Temperature difference for October is High - Low = \( 82 - 46 = 36^\circ\text{F} \). Half of this difference is \( \frac{36}{2} = 18^\circ\text{F} \).

Step2: Calculate temperature differences for each month

• September: \( 84 - 72 = 12^\circ\text{F} \) (12 < 18)
• November: \( 60 - 42 = 18^\circ\text{F} \) (18 is not less than 18)
• December: \( 41 - 26 = 15^\circ\text{F} \) (15 < 18)
• January: \( 34 - 10 = 24^\circ\text{F} \) (24 > 18)

Step3: Identify months with difference < 18

From the calculations, September (12) and December (15) have differences less than 18. Wait, wait, let's recheck. Wait, the options: Wait, maybe I made a mistake. Wait, October's difference is 82 - 46 = 36. Half of that is 18. So we need months with difference < 18.

September: 84 -72 =12 <18.

November: 60 -42=18, which is not less than 18.

December:41-26=15 <18.

January:34-10=24 >18.

Wait, but the options: Let's check the options again. The options are:

1. September, December, January – January is 24>18, so no.

1. November, December – November is 18, not less.

1. September, December – 12 and 15, both <18.

1. September, November, December – November is 18, not less.

So the correct months are September and December.

Answer:

September, December