Question

The following measurements were taken of a tree. Do the age and height show direct variation? If so, write the equation of variation.
direct variation y = 0.28x

direct variation y = 0.28x + 3.6

direct variation x = 3.6y

no direct variation

Answer 1

Replace the value of x and y into the equations and see if they solve:

x = -5, y = 24

24 = 0.28(-5),  24 = -1.4 False
24 = 0.28(-5) +3.6, 24 = 2.2 False

-5 = 3.6(24), -5 = 86.4 False
 none of the given equations work, so there is no direct variation

Answer 2

Hello!
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There is no direct variation in the age and height.
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WORK: 0.28*-5= -1.4
             0.28*-5+3.6=2.2
             3.6*24=86.4
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Hope this helps and have a great day!