Growth

Tutoring on Growth

Learning Objectives:

Understand application of Linear, Exponential and Logistic Growth.

Math Tutoring on Growth

In Math Tutoring, Recursive Relationships are excellent for describing simply and cleanly how a quantity is changing. However, they are not convenient for making predictions or solving problems that stretch far into the future. For that, a closed or Explicit Relationship is preferred.

Linear Growth:

If a quantity starts at size P0 and grows by d every time period, then the quantity after n time periods can be determined using either of these relations:

Recursive Form:                                                       

Explicit Form:                           

In this equation, d represents the Common Difference - the amount that the population changes each time n increases by 1.

Exponential Growth:

If a quantity starts at size and grows by (written as a decimal, r) every time period, then the quantity after n time periods can be determined using either of these relations:

Recursive Form:                         

Explicit Form:                             

We call r the Growth Rate. The term (1+r) is called the Growth Multiplier, or Common Ratio.

Logistic Growth:

If a population is growing in a constrained environment with Carrying Capacity K, and absent constraint would grow exponentially with growth rate r, then the population behavior can be described by the Logistic Growth Model:

Learn ‘Growth’ with AffordEdu.

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *

 

 

Hook questions:

1.     What is Recursive and Explicit Relationship?

2.     State Recursive and Explicit form of Linear & Exponential Growth?

3.     Define Logistic Growth.

 

 

 

Learn ‘Growth’ with AffordEdu Online One on One Math Tutoring.

 

Struggling with Growth? Need math help for homework? You are not the only one. Fortunately our expert tutors in math tutoring are online now and are ready to help.

 

 

MORE TOPIC RECOMMENDATIONS FOR YOU