The cells of a bacteria doubles in every 15 minutes. A scientist begins with a single cell. How many cells will be there after (a).4 hours (b)10 hours ? Express your answers in exponential form. pls help me

Respuesta :

Step-by-step explanation:

Given that:-

  • 1 cell = 15 minutes

So, we can concert 15 minutes to hours.

So,

60 minutes = 1 hour

1 minute = 1/60

15 minutes =

[tex] \frac{15}{60} = 0.25 \: hrs[/tex]

Okay, now we will apply first for 0.4 hours.

[tex]0.25 \: hrs= 1 \: cell [/tex]

[tex]1 \: hr = \frac{1}{0.25} [/tex]

[tex]0.4 \: hrs = \frac{0.4}{0.25} [/tex]

[tex] = 1.6 \: cells[/tex]

[tex] = 16 \times {10}^{ - 1} \: cells[/tex]

Now, second one:-

[tex]10 \: hrs = \frac{10}{0.25} [/tex]

[tex] = 40 \: cells[/tex]

[tex] = 0.4 \times {10}^{2} \: cells[/tex]

Hope it helps :D