Question

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph

models the function?

Answer 1

b

Explanation:

edge2020

Answer 2

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.