1242
21g=
POD
g = 73.5
42 × 21 = 882
12 × g = 12g
12g = 882÷12 ÷12
1-7 Constant Rate of ChangeA rate of change is a
rate that describes how one quantity changes in relation to another.
In a linear relationship, the rate of change between any two quantities is the same. A linear relationship has a constant rate of change.
Ex: A computer programmer charges customers per line of code written. Use the data table to calculate the constant rate of change.Lines of code
50 100 150 200
Cost ($) 1,000 2,000 3,000 4,000
+50 +50 +50
+1,000 +1,000 +1,000
Change in dollarsChange in lines
= $1,00050 lines
= $201 line
The constant rate of change per line of programming code is $20
The graph represents the distance traveled while driving on a highway. Find the constant rate of change.
Ex:
What does point (0, 0) represent?
It means that in 0 hours the car drove 0 miles.What does point (2, 120) represent?
It means that in 2 hours the car drove 120 miles.
The graph represents the distance traveled while driving on a highway. Find the constant rate of change.
Ex:
To find the rate of change, pick any two points on the line, such as (0,0) and (1,60).
Change in milesChange in hours
(60 – 0) miles(1 – 0) hours
=
=60 miles1 hour
The graph represents the distance traveled while driving on a highway. Find the constant rate of change.
Ex:
To find the rate of change, pick any two points on the line, such as (3,180) and (1,60).
Change in milesChange in hours
(180 – 60) miles(3 – 1) hours
=
=120 miles2 hours
60 miles1 hour=
The graph represents the distance traveled while driving on a highway. Find the constant rate of change.
Ex:
1. Pick 2 points2. Find the difference between
the y values and the difference between the x values.
3. Write as a rate. simplify