Name________________________________ Date ________________ Period___________
Slope (rate of change)
I. Use the following graphs (a-f) to answer questions 1-5 below.
a.
b.

y




































x





























 










 


y

x







































Write the letters of the corresponding graphs
1. Which graphs are increasing?_______________
2. Which graphs are decreasing?_______________
3. Which graph has a slope of



x


















y



f.
y

x






















e.




y


x
d.





c.
y

1
? _______
3
4. What is the slope (rate of change) for graph ‘e’? ___________
5. Which graph goes through the point (0, 0)? _______
x

Find the slope from each table of values.
6.
7.
x
y
1
5
2
7
3
9
4
11
Slope = _________
x
0
2
4
6
y
15
11
7
3
Slope = ___________
II. Aly has a lawn mowing business. For every lawn she mows, she earns $6.
Number of Lawns 0 1 2 3 4
5 6 7
Amount Aly Earns 0 6 12 18 24
7. Graph the situation on the set of axes below (be sure to include points, label axes, show values
on axes).
8. What is the rate of change (slope) for this situation? __________ Explain how you got
this. _________________________________________________________________ .
9. How much will Aly earn if she mows 5 lawns? ____________
10. How much will she earn if she mows 8 lawns? _____________
11. Bonus: How much will she earn if she mows ‘x’ lawns? ________
Solve for x.
12. 2x + 1 = 17
13. 2 + 3 (x – 1) = 11