### A little algebra fun.

Farmer JohnJohn is a farmer. He has not had much luck this season. He planted 65 seeds. He watched the plants grow each week. He noticed in the first week eight plants grew. In the second week, eleven plants grew. The third week fourteen plants grew.

a. Based on the pattern the plants have been growing, how many plants will grow in week 4, week 5,week 6? Show all your work.

b. What percent of Farmer John's seeds sprouted by the sixth week? Show your work.

c. How many plants will have grown in the nth week? Show your work and explain your reasoning.

This question will take a lot of explaining. If the comment box is not large enough for you to solve it you can create a post at your class blogsite and title it FARMER JOHN SOLUTIONS.

Mr. H

## 2 Comments:

John is a farmer. He has not had much luck this season. He planted 65 seeds. He watched the plants grow each week. He noticed in the first week eight plants grew. In the second week, eleven plants grew. The third week fourteen plants grew.

a. Based on the pattern the plants have been growing, how many plants will grow in week 4, week 5,week 6? Show all your work.

b. What percent of Farmer John's seeds sprouted by the sixth week? Show your work.

c. How many plants will have grown in the nth week? Show your work and explain your reasoning.

1 8

2 11

3 14

4 17

5 20

6 23

7 26

8 29

9 32

10 35

A. 4th week 17

5th week 20

6th week 23

B.23/65

23%65=35.38461percent

C.32

Cause 8,11,14,17,20,23,26,29,32

Week 1 = 8

Week 2 = 11

Week 3 = 14

1x3=3 +5= 8

2x3=6 +5=11

3x3=9 +5=14

A- the fourth Week

4x3=12 +5=17

B- the fifth week

5x3=15 +5 =20

C- the sixth week

6x3=18 +5= 23

The answers are

17, 20, and 23

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