Question

Section 51 Chapter 5 3. A forester takes measurements in a grove of trees. Naturally older trees also have larger volumes. Ch Age Volume (m 21 143 157 168 178 189 199 212 221 237 248 261 272 278 288 299 304 318 327 340 349 Make a graph of the data larger enough to include a 50 year old tree (use graph paper, label completely, let age06 be the independent(x) variable and volume be the dependent(y) variable). a) 23 24 25 26 27 28 29 30 31 32 b) Find the slope between the youngest and oldest trees accurate to 2 decimal places. Add a trend line to the graph. Choose two representative points from your trend line and find the slope. Explain the meaning of the slope in context. Use your trend line to estimate the volume of a 50 year old tree. c) d) e) 34 35 36 37 38 39 40

Answer 1

a) plot the point in the graph:

b)  

x	y
21	143
40	349

slope = (y1 - y2)/(x1 - x2) = (-206)/(-19) = 10.842

c)

350 300 250 o 200 150 100 150 200 100 50 Age of forest -50 0 -150 100

d)

x	y
24	178
39	340

slope = (y1 - y2)/(x1 - x2) = (-162)/(-15) = 10.8

the volume of the forest grows by 10.8m³ every year

e) 450m³

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