Calculus workkkkk help

Question

The number of bacteria in a culture is increasing according to the law of exponential growth. There are 145 bacteria in the culture after 2 hours and 425 bacteria after 4 hours.

(a)

Find the initial population. (Round your answer to the nearest whole number.)

____________ bacteria

(b)

Write an exponential growth model for the bacteria population. Let t represent the time in hours.

y = 

 

(c)

Use the model to determine the number of bacteria after 8 hours. (Round your answer to the nearest whole number.)

 _____________bacteria

(d)

After how many hours will the bacteria count be 40,000? (Round your answer to two decimal places.)

_____________ hr

Answer 1

145 = a₀(r)²

425 = a₀(r)⁴

2,.931 ≈ r⁴

Can you calculate r and continue?