The function rule h=3w+2 represents the height in centimeters h of a plant after w weeks of growth.
a. Make a table of ordered pairs to show the height of the plant each week for 5 weeks.
b. Graph the function. If the plant continues to grow at the same rate, how tall will it be after 8 weeks?
+23254 Using h = 3w + 2:
Table:
w = 0: h = 3(0) + 2 --> h = 2 ---> (0, 2)
w = 1: h = 3(1) + 2 --> h = 5 ---> (1, 5)
w = 2: h = 3(2) + 2 --> h = 8 ---> (2, 8)
w = 3: h = 3(3) + 2 --> h = 11 ---> (3, 11)
w = 4: h = 3(4) + 2 --> h = 14 ---> (4, 14)
w = 5: h = 3(5) + 2 --> h = 17 ---> (5, 17)
Graph these points, connecting the points with a straight line. Continue the line out until you get the point (8, something); the 'something' is the answer to the second question.
Label the horizontal axis as 'w'; label the vertical axis as 'h'.
+23254 Using h = 3w + 2:
Table:
w = 0: h = 3(0) + 2 --> h = 2 ---> (0, 2)
w = 1: h = 3(1) + 2 --> h = 5 ---> (1, 5)
w = 2: h = 3(2) + 2 --> h = 8 ---> (2, 8)
w = 3: h = 3(3) + 2 --> h = 11 ---> (3, 11)
w = 4: h = 3(4) + 2 --> h = 14 ---> (4, 14)
w = 5: h = 3(5) + 2 --> h = 17 ---> (5, 17)
Graph these points, connecting the points with a straight line. Continue the line out until you get the point (8, something); the 'something' is the answer to the second question.
Label the horizontal axis as 'w'; label the vertical axis as 'h'.
