Unit 5, Lesson 7
Using Graphs to Find Average Rate of Change
Algebra 1
Practice
Problem 1
The temperature was recorded every hour on the hour during the day. Function \(T\) gives the temperature in degrees Fahrenheit, \(n\) hours since midnight.
Here is a graph for this function.
For each time interval, decide if the average rate of change is positive, negative, or zero:
- from \(n=1\) to \(n=5\)
- from \(n=5\) to \(n=8\)
- from \(n=10\) to \(n=20\)
- from \(n=15\) to \(n=18\)
- from \(n=20\) to \(n=24\)
Discrete graph of temperature over time, coordinate plane, origin O. Horizontal axis scale 0 to 25 by 5’s, labeled “time of day”. Vertical axis scale 30 to 70 by 10’s, labeled “temperature (Fahrenheit)”. The points are near (1 comma 42), (2 comma 40), (3 comma 39), (4 comma 38), (5 comma 36), (6 comma 36), (7 comma 37), (8 comma 41), (9 comma 47), (10 comma 51), (11 comma 55), (12 comma 61), (13 comma 64), (14 comma 66), (15 comma 68), (16 comma 69), ( 17 comma 69 point 3), (18 comma 69), (19 comma 66), (20 comma 63), (21 comma 57), (22 comma 50), (23 comma 41) and (24 comma 32).