Question

question one spring day, bilquis noted the time of day and the temperature, in degrees fahrenheit. her findings are as follows: at 6 a.m., the temperature was 50°f. for the next 5 hours, the temperature rose 1° per hour. for the next 2 hours, it rose 2° per hour. the temperature then stayed steady until 6 p.m. for the next 4 hours, the temperature dropped 1° per hour. the temperature then dropped steadily until the temperature was 54° at midnight. on the set of axes below, graph bilquis’s data. watch video show examples

Explanation:

Step1: Calculate 11 a.m. temp

Initial temp: $50^\circ\text{F}$, rise $1^\circ$/hr for 5 hrs:
$50 + (1 \times 5) = 55^\circ\text{F}$

Step2: Calculate 1 p.m. temp

Rise $2^\circ$/hr for 2 hrs:
$55 + (2 \times 2) = 59^\circ\text{F}$

Step3: 6 p.m. temp (steady)

Temp stays $59^\circ\text{F}$

Step4: Calculate 10 p.m. temp

Drop $1^\circ$/hr for 4 hrs:
$59 - (1 \times 4) = 55^\circ\text{F}$

Step5: Confirm midnight temp

Given as $54^\circ\text{F}$ (matches steady drop)

Step6: Define plot segments

Connect:
(6a.m,50)→(11a.m,55) (slope 1),
(11a.m,55)→(1p.m,59) (slope 2),
(1p.m,59)→(6p.m,59) (horizontal),
(6p.m,59)→(10p.m,55) (slope -1),
(10p.m,55)→(midnight,54) (slope -0.5)

Answer:

The key data points to plot are:

1. (6 a.m., 50°F)
2. (11 a.m., 55°F)
3. (1 p.m., 59°F)
4. (6 p.m., 59°F)
5. (10 p.m., 55°F)
6. (Midnight, 54°F)