At the beginning of an experiment, the temperature of a solution was 48°C. During a 6-hour period, the temperature dropped 2.2 degrees each hour, then increased 1.8 degrees each
hour for the next 4 hours. Write an expression to show the temperature change during this
time period. What is the final temperature?

9514 1404 393

Step-by-step explanation:

At the end of the first 6 hours, the temperature change was ...

  (-2.2 K/h)(6 h) = -13.2 K

The change in the next 4 hours was ...

  (1.8 K/h)(4 h) = 7.2 K

Then the total change over the 10-hour period was ...

  (-2.2)(6) +(1.8)(4) . . . . . expression for temperature change

This evaluates to -13.2 +7.2 = -6.

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The final temperature is the sum of the initial temperature and the temperature change:

  final temperature = 48 °C -6 °C = 42 °C

Additional comment

When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).

were is the equation