In 2013, the number of students in a small school is 284. It is estimated that the student population will
increase by 4% each year.

Write a formula for the student population.

Estimate the student population in 2020.

Respuesta :

Answer:

284 +(284x.04)

Step-by-step explanation:

296 students in 2020

The formula for the estimated student population in 2020 is 284 + (284 × 4%)^n

Given:

2013 population = 284

Annual growth rate of population = 4%

Predicted year = 2020

let

n = difference between predicted year and 2013 population

= 2020 - 2013

= 7

The formula:

Estimated population = 2013 population + (2013 population × Annual growth rate)^n

= 284 + (284 × 4%)^n

= 284 + (284 × 0.04)^7

= 284 + (11.36)^7

= 284 + 24,414,527.3

= 24,414,811.3

Therefore, the estimated population of the students in 2020 is 24,414,811.3

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