Respuesta :
Answer:
≈ 1.37 * [tex]10^{13}[/tex]
Step-by-step explanation:
Given the exponental function is:
F(x) = 200*[tex]2^{x}[/tex] where:
- 200 is initial value of crickets
- 2 is the base number (doubles in size every month)
- x is the number of months
How many crickets will there be after three years?
3 years = 12*3 = 36 so x = 36. Substitute x into the function we have:
F(x) = 200*[tex]2^{36}[/tex] ≈ 1.37 * [tex]10^{13}[/tex]
So the number of crickets after three years is: ≈ 1.37 * [tex]10^{13}[/tex]
Answer: There will be 1.37 x 10^13 crickets after 3 years.
Step-by-step explanation:
Hi, to answer this question we simply have to replace x in the formula by the number of months in 3 years.
f (x) = 200 (2^x)
Where x is the number of months
Since one year has 12 months,
for 3 years: 3 x 12 = 36 months
Substituting x= 36 on the function
f (36) = 200 (2^36)
f (36) = 200 (2^x)
f(36) = 1.37 x 10^13
Feel free to ask for more if needed or if you did not understand something.