Lesson: Patterns of Growth in Tables and Graphs

The table shows the value of a company’s stock over a 5-day period. Determine the rate of change (dollars per day) between Day 1 and Day 3.

Value	40.23	45.55	49.87	41.21	45.62
Day	1	2	3	4	5

The table shows the value of a company’s stock over a 5-day period. Determine the rate of change (dollars per day) between Day 2 and Day 4.

Value	43.28	44.39	47.14	40.64	47.18
Day	1	2	3	4	5

The table shows Sophia’s height at ages 10 and 15. Find the rate of change, in inches per year, of her height between these ages.

Height (in)	53	67
Age (yr)	10	15

The table shows Amelia’s height at ages 15 and 18. Find the rate of change, in inches per year, of her height between these ages.

Height (in)	67	75
Age (yr)	15	18

What is the rate of change shown by this graph of a function?

Determine which of the given functions has a greater rate of change.

(a)

	0	1	2	3	4
		2	5	8	11

(b)

What is the rate of change for the function represented in the following table?

	0	2	3	4	5
	1	5	7	9	11

Daniel was 45 inches tall. After fifteen months, he was 54 inches tall. Determine the monthly rate of change of his height.

The graph below shows the relation between the cost of a party and the number of people attending. Determine the rate of change.