Question

PLEASE HURRY

useing desmost how can i graph this: Allen did an experiment. he started out with 350 bacteria cells. He found that the growth rate of the bacteria cells was %4.1. create an equation for the situation that would work for any time, x. Type you equation into desmos to make a graph

Answer 1

Explanation:

Use Desmos to graph

The compound interest formula :

y = 350 (1 + .041)^x

.041 is the growth rate % in decimal , x is the time (in whatever units the question stated) and 350 is the starting point of 350 bacteria at time x = 0

Answer 2

`\sf Equation : N(x) = 350 * (1 + 0.041)^x`

Explanation:

The equation for exponential growth can be represented as:

`\sf N(x) = N_0 * (1 + r)^x`

where:

-
`\sf N(x)` is the population at time
`\sf x`,

-
`\sf N_0` is the initial population (at
`\sf x = 0`),

-
`\sf r` is the growth rate (as a decimal),

-
`\sf x` is the time elapsed.

In this case:

-
`\sf N_0` is the initial number of bacteria cells, which is 350.

-
`\sf r` is the growth rate, which is
`\sf 4.1\% = 0.041` (as a decimal).

Therefore, the equation for the situation would be:

`\sf N(x) = 350 * (1 + 0.041)^x`

This equation models the growth of the bacteria cells over time. We can use this equation to find the population at any given time
`\sf x`.