Assignment 2 Linear Growth Models

Find the common difference (d), the initial amount (P₀), the explicit formula, and the term named in the problem.

1.Marcia is a collector of china dolls. Her collection currently contains 30 dolls. Every year, she budgets enough money to buy 18 new dolls. How many dolls will she have in 14 years?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 14 years or P₁₄=

2.Kevin has a bag of 1000 jellybeans. He eats 25 jellybeans each day.How many jellybeans will he have left in the bag after 18 days?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 18 days or P₁₈=

3.Consider a population that has an initial population of 100 and grows according to the recursive rule: P_n= P_n-1+ 35.What will be the population after 50 years?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 50 years or P₅₀=

4.Consider a population that has an initial population of 500 and grows negatively according to the recursive rule: P_n= P_n-1- 15.What will be the population after 20 years?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 20 years or P₂₀=

5.A population of beetles are growing according to a linear growth model. The initial population is 13 beetles.The population after 12 weeks is 121.What will be the population after 40 weeks?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 40 weeks or P₄₀=

6.A population of buffalos are shrinking according to a linear growth model. The initial population is 353 buffalos. The population after 10 years is 293.What will be the population after 25 years?

Common Difference or d =

Initial Amount or P₀=

Explicit Formula or P_n=

After 25 years or P₂₅=