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.