Question

Find the rate of change from the table.

Time (hr)
a) 2
b) 3
c) 4
d) 5

Temperature (°)
a) 80
b) 4
c) 2
d) 1

Answer 1

To find the rate of change from a table, subtract the initial value from the final value and divide by the difference in time.

Step-by-step explanation:

To find the rate of change from the given table, we need to determine the change in temperature divided by the change in time. We can do this by subtracting the initial temperature from the final temperature, and then dividing by the difference in time.

The rate of change can be calculated as follows:

1. For the time interval 2 to 3 hours: (4 - 80) / (3 - 2) = -76
2. For the time interval 3 to 4 hours: (2 - 4) / (4 - 3) = -2
3. For the time interval 4 to 5 hours: (1 - 2) / (5 - 4) = -1

Therefore, the rate of change is -76 degrees per hour between 2 to 3 hours, -2 degrees per hour between 3 to 4 hours, and -1 degree per hour between 4 to 5 hours.