contestada

there are 140 birds at the start of a repopulation project, and the population of birds increases by 4% each year. Which of the following represents the population, p ,at the end of 6 years?

a. p=140(0.04)^6

b. p=140(1+0.04)^6

c. p=140+6(1+0.04)

d. p=6(140+0.04)

Respuesta :

Ashraf82

[tex]p=140(1+0.04)^{6}[/tex] represents the population, p ,at the end of 6 years ⇒ b

Step-by-step explanation:

The form of the exponential function is [tex]y=a(1+r)^{x}[/tex] , where

  • a is the initial value of y (when x = 0)
  • r is the rate of increasing in decimal

∵ There are 140 birds at the start of a re-population project

∴ The initial value a = 140 birds

∵ The population of birds increases by 4% each year

∴ The rate of increasing = 4%

∵ 4% = 4 ÷ 100 = 0.04

∴ r = 0.04

∵ The population is p in t years

∴ The exponential function is [tex]p=a(1+r)^{t}[/tex]

∵ a = 140

∵ r = 0.04

∵ t = 6

- Substitute these values in the equation above

∴ [tex]p=140(1+0.04)^{6}[/tex]

[tex]p=140(1+0.04)^{6}[/tex] represents the population, p ,at the end of 6 years

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly