Question

2. A maple tree seed is planted and the tree grows 2 feet per month. Create a table that could represent the tree's height Graph those pamts on the graph and create a rule that represents the relationship. y 난 Month Height Find Constant Rate 261 867 2 Graph Line 3 write equation 4 니 8 10. y=

Answer 1

According to the question, the tree seed planted grows 2 feet per month

For every month, the seed grows to feet

Let x represent the number of months

Let y represents the height of the tree grown per month

For the first month, that is when x = 1, the height of the tree is 2 ft

when x = 1

y = 2 x 1

y = 2ft

When x = 4

y = 2 x 4

y = 8 ft

When x = 8

y = 2 x 8

y = 16 ft

when x = 10

y = 2 x 10

y = 20 ft

The table formed is given as

x 1 4 8 10

y 2 8 16 20

Secondly, we need to calculate the constant of proportionality

Height is proportional to the number of months

y = kx

where k = proportionality constant

Isolate K

k = y/x

For x = 1 and y = 2

k = 2/1

k = 2

For x = 4 and y = 8

k = 8/4

k = 2

For x = 8 and y = 16

k = 16/8

k = 2

for x = 10 and y = 20

k = 20/10

k = 2

Therefore, the relationship between x and y is given below

y = 2x

Thirdly, we need to graph the table