Question

One spring day, Jaya 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 4 hours, the temperature rose 1° every 2 hours. For the next 3 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 4 hours, the temperature dropped 3° every 2 hours. The temperature then dropped steadily until the temperature was 54° at midnight. On the set of axes below, graph Jaya's data.

Answer 1

We were given the following:

Time-Temperature data

`\begin{gathered} 6am=50\degree F \\ \text{Over the next 4 hours, temperature rose }1\degree\text{every 2 hours:} \\ 7am=50.5\degree F \\ 8am=51\degree F \\ 9am=51.5\degree F \\ 10am=52\degree F \\ \text{Over the next 3 hours, temperature rose }3\degree\text{every 2 hours:} \\ 11am=55\degree F \\ 12pm=58\degree F \\ 1pm=61\degree F \\ \text{The temperature stays steady until 6pm:} \\ 2pm=61\degree F \\ 3pm=61\degree F \\ 4pm=61\degree F \\ 5pm=61\degree F \\ 6pm=61\degree F \end{gathered}`

For the next 4 hours, the temperature dropped 3° every 2 hours. We have:

`\begin{gathered} 7pm=59.5\degree F \\ 8pm=58\degree F \\ 9pm=56.5\degree F \\ 10pm=55\degree F \end{gathered}`

The temperature then dropped steadily until the temperature was 54° at midnight. We have:

`\begin{gathered} 11pm=54.5\degree F \\ 12am=54\degree F \end{gathered}`

We will now proceed to plot these data points on a graph. We have: