contestada

To begin a bacteria study a petri dish had 2200 bacteria cells every hours since the number of cells has increased by 3.8% let t be the number of hours since the start of the study let y be the number of bacterial cells write the exponential function showing the relationship between y&t

Respuesta :

calculista

Answer:

[tex]y=2,200(1.038)^t[/tex]

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

[tex]y=a(1+r)^t[/tex]

where

y is the number of bacterial cells

t is the number of hours

a is the initial value

r is the rate of change

we have

[tex]a=2,200\\r=3.8\%=3.8/100=0.038[/tex]

substitute

[tex]y=2,200(1+0.038)^t[/tex]

[tex]y=2,200(1.038)^t[/tex]

Otras preguntas