Respuesta :
Answer:
[tex] y(t) = 140 (2.7)^{0.01t} [/tex]
Where t represent the time in years
For this case this model follows the general model given by:
[tex] y = a b^t [/tex]
Where a = 140 represent the initial amount of bisons and y the number of bisons after t years and b = 2.7 represent the growth rate
For this case we want to find the value of y when t =30, and if we replace the value of t =30 in our function we got:
[tex]y(30) = 140(2.7)^{0.01*30} = 188.598[/tex]
And if we round to the nearest whole number we got 189 bisons after 30 years
Step-by-step explanation:
For this case we have the following function given:
[tex] y(t) = 140 (2.7)^{0.01t} [/tex]
Where t represent the time in years
For this case this model follows the general model given by:
[tex] y = a b^t [/tex]
Where a = 140 represent the initial amount of bisons and y the number of bisons after t years and b = 2.7 represent the growth rate
For this case we want to find the value of y when t =30, and if we replace the value of t =30 in our function we got:
[tex]y(30) = 140(2.7)^{0.01*30} = 188.598[/tex]
And if we round to the nearest whole number we got 189 bisons after 30 years
