Question

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

Answer 1

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

$y=100(2)^{2x}$

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t  and find out the number of bacteria y

$y=100(2)^{2 \cdot 4}\\y=25600$

25600 bacteria

$y=100(2)^{2t}$

convert 40 seconds into hour

40 divide by 60 =2/3

$y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252$

The graph is attached below