Question

the temperature is rising
directions the chart below shows the daily temperatures for chicago as reported on the internet. use the chart below to answer the questions.
temperatures on july 16th

time	temperatures
11:00 a.m.	72°f
12 noon	76°f
1:00 p.m.
2:00 p.m.

1. if the temperature continues to rise at the same rate, what will the temperature be at 1:00 p.m.?
2. what will the temperature be at 2:00 p.m.?
3. during the day, will the temperature reach 90°f? why or why not?
4. how high will the temperature most likely reach? explain your

Explanation:

Step1: Determine temperature rise rate

From 10:00 AM (68°F) to 11:00 AM (72°F): $72 - 68 = 4^\circ\text{F/hour}$. From 11:00 AM to 12 Noon (76°F): $76 - 72 = 4^\circ\text{F/hour}$. Rate = $4^\circ\text{F/hour}$.

Step2: Calculate 1:00 PM temperature

12 Noon temp: 76°F. 1:00 PM is 1 hour later: $76 + 4 = 80^\circ\text{F}$.

Step3: Calculate 2:00 PM temperature

2:00 PM is 2 hours after 12 Noon: $76 + 2\times4 = 84^\circ\text{F}$.

Step4: Check if 90°F is reached

Required rise: $90 - 76 = 14^\circ\text{F}$. Time needed: $14\div4 = 3.5$ hours (3:30 PM). During the day, yes.

Step5: Estimate maximum temperature

Assuming rise continues 4 hours after 12 Noon: $76 + 4\times4 = 92^\circ\text{F}$.

Answer:

1. 80°F
2. 84°F
3. Yes, because at a 4°F per hour rate, it will reach 90°F at 3:30 PM.
4. Most likely 92°F (if rising for 4 hours after 12 Noon).