We will assume that we have a function relating between the time and the temperature. Any point in this function can be expressed as (x,y) where x is the time and y is the temperature (any point is expressed as (time, temperature)).
We have two points given: <span>At 7 p.m. the temperature is 72 degrees F: First point is (7,72) </span><span>At 10 p.m. the temperature is 52 degrees F: Second point is (10,52)
The rate of change is simply the slope of this function, this slope can be calculated as: rate of change = (y2-y1) / (x2-x2) we have y2= 52, y1= 72, x2= 10 and x1= 7
Substituting in the equation, we can calculate the rate of change as follows: rate of change = (52-72) / (10-7) = -6.667 degrees/hours Note: The negative sign indicated a DECREASE in the temperature.</span>
