Question

A tree farm owner uses a grid to mark where to plant trees in the spring. The first tree is planted at (2, 3). Each of the other trees is planted 3 feet east and 2 feet north of the previous tree 1. Draw and label the locations of the first four trees on the grid 2. Describe the pattern of the points that represent the tree's location. 3. What is the location of the seventh tree? Explain how you determined your answer.

Answer 1

Answer:

See attached image for the drawing of the first four trees (circled in green)

The patterns is:

x = 2+3n  and  y= 3+2n

Position of 7th tree is: (20,15) (circled in orange in the image)

Step-by-step explanation:

Starting at the location (2,3) the next x and y positions are given by:

x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,

and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration

being n= 1 through 6 (to account for the next 6 trees that need to be planted)

With such pattern, the location of the seventh tree would be:

x = 2 + 3*6 =2 + 18 = 20

y = 3 + 2*6 = 3 + 12 = 15

That is, the point (20,15) on the plane.

Also see attached image.