Question

luis created the graph below to show the temperature from 8:00 a.m. (8 hours after midnight) until 8:00 p.m. on this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. which statements are true about the temperatures luis recorded on the graph? select three answers. the temperature increased until 4:00 p.m. the temperature was not recorded between 4:00 p.m. and 6:00 p.m. the temperature decreased after 6:00 p.m. the temperature increased and then decreased before holding constant. the temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.

Explanation:

1. Analyze each statement:

• "The temperature increased until 4:00 p.m.": From the graph, the temperature rises until 16 (4:00 p.m.)? Wait, no, the flat part starts at 16? Wait, the x - axis: 12 is noon, 16 is 4 pm, 18 is 6 pm. The graph: before 12, it's rising? Wait, no, at 8 (8 am) it's - 4, then at 12 it's 0, then from 12 to 16 it rises steeply, then flat from 16 - 18, then drops after 18. Wait, re - evaluating:
• "The temperature increased until 4:00 p.m.": From the graph, the temperature goes up until 16 (4 pm)? Wait, the line goes up from 12 (noon) to 16 (4 pm), and before 12, it was also rising (from 8 am (8 on x - axis) to 12 (noon)). Wait, maybe I misread. Wait, the x - axis: 8 is 8 am, 12 is noon, 16 is 4 pm, 18 is 6 pm, 20 is 8 pm. The y - axis is temperature. At x = 8, y=-4; x = 12, y = 0; x from 12 to 16, y rises to 8; x from 16 to 18, y stays 8; x after 18, y drops.
• "The temperature was not recorded between 4:00 p.m. and 6:00 p.m.": From 16 (4 pm) to 18 (6 pm), the graph is flat, meaning temperature is constant (recorded as 8), so this is false.
• "The temperature decreased after 6:00 p.m.": After 18 (6 pm), the graph goes down, so this is true.
• "The temperature increased and then decreased before holding constant.": No, it increased, then held constant, then decreased. So false.
• "The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.": From 8 am (x = 8, y=-4) to 12 pm (x = 12, y = 0): time difference 4 hours, temperature change 4°F (rate 1°F per hour). From 12 pm (x = 12, y = 0) to 4 pm (x = 16, y = 8): time difference 4 hours, temperature change 8°F (rate 2°F per hour). So this is true.
• Wait, also "The temperature increased until 4:00 p.m.": From 8 am to 4 pm, the temperature is increasing (from - 4 to 8), so this is true.

So the three true statements are:

• The temperature increased until 4:00 p.m.
• The temperature decreased after 6:00 p.m.
• The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.
• Wait, also check the "temperature was not recorded..." is false. The "increased and then decreased before holding constant" is false. So the three correct ones are:
• The temperature increased until 4:00 p.m.
• The temperature decreased after 6:00 p.m.
• The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.

Answer:

• The temperature increased until 4:00 p.m.
• The temperature decreased after 6:00 p.m.
• The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.