Activity 1.6 Depreciation

1. Activity 1.6Depreciation

2. In your groups… • Read page 51 • Complete exercises 1 and 2 in your groups • Don’t forget • Average rate of change is • UNITS!!!!!!!!!!!!!!!!!!!!!!!!!

3. Definition • A linear function always has a constant average rate of change • Answer question 3 in your groups • Work on problem 4 in your groups

4. Definition • We call the constant average rate of change the slope of the line • If x represents the input variable and y represents the output variable, than the slope m is given by • Answer question 5 in your groups

5. Definition • The point where the graph crosses (or intercepts) the vertical axis is called the vertical intercept • The input value of a vertical intercept is always zero • Often we refer to it as the y-intercept since we typically refer to the vertical axis as the y-axis • In your groups do problems 6, 7 and 8

6. Definition • Linear functions are most commonly written as y = b + mx or y = mx + b where m is the slope and b is the y-intercept • This is called the slope intercept form of the equation of a line • Using our function notation this can also be written as f(x) = mx + b • Do problem 9 in your groups

7. Definition • The horizontal intercept is where the graph crosses (or intercepts) the x-axis • The output value is always zero at this point • These are sometimes referred to as the zeros or the roots of a function • When the input variable is represented by x we call this the x-intercept • Read example two and discuss solution in your groups • Do problems 10 and 11

8. Cluster Practice • Work on Cluster 1 on page 37 • Work on problems 1-14