Video: Calculating the Rate of Change from a Given Table

Using the given table, determine the rate of change in temperature.

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Video Transcript

Using the given table, determine the rate of change in temperature.

The rate of change can be calculated by dividing the change in 𝑦 by the change in 𝑥. In this question, the rate of change in temperature could be calculated by dividing the change in temperature by the change in time. The change in temperature between each of our values in the table is constant. It is plus four degrees. The change in time is also constant. We are adding one hour, from 1:00 PM to 2:00 PM, 2:00 to 3:00 PM, and then 3:00 to 4:00 PM.

As both of these changes are constant, we know that our relationship will be linear. The change in temperature is equal to four degrees per hour. This is because four divided by one is equal to four. For each hour that passes, the temperature increases by four degrees.

This could be calculated by selecting any two pairs of values from the table. Let’s consider the two end columns. The change in temperature here can be calculated by subtracting 55 from 67. The change in time is four minus one. This is equal to 12 divided by three, which equals four and proves that our answer is correct.

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