The function f(x)= 1000(2)^x where x is the number of weeks, represents the cicada population on a farm. Use a function to answer the following nation.

What is the y-intercept?

The y intercept represents?

What does the 2 in the function represent?

1 answer

The y-intercept can be found by setting x=0 in the function.

f(0) = 1000(2)^0 = 1000(1) = 1000

Therefore, the y-intercept is 1000.

The y-intercept represents the initial population of cicadas on the farm before any weeks have passed.

The 2 in the function represents the growth rate of the cicada population. In this case, the population doubles every week.