Question

In a forest, a biologist introduces a new species of flower to see how 2 it grows in the environment. They predict the flower with grow according to an exponential model. They initially plant only 4 flowers. 2 weeks later, they check back to find 100 flowers blooming in the experimental area! 1. Write a function, f(w), where w represents the number of weeks since the experiment started, and f(w) represents the number of flowers. Precitin on any weeks like or there to we the experiment started.

Answer 1

To represent the number of flowers grown over time in the experiment, we can use the exponential growth model: f(w) = 4 * 5^w.

Step-by-step explanation:

To write a function representing the number of flowers grown over time in this experiment, we can use an exponential growth model.

Let's assume that the function is of the form f(w) = a * b^w, where 'a' represents the initial number of flowers and 'b' represents the growth factor.

In this case, the initial number of flowers is 4, and 2 weeks later, the number of flowers is 100.

We can use these values to solve for 'b' using the equation 100 = 4 * b^2.

Solving for 'b', we get b = 5.

Therefore, the function representing the number of flowers is f(w) = 4 * 5^w.