1 a research biologist is growing a strain of bacteria in he

1. a research biologist is growing a strain of bacteria in her lab. She records in her lab. She records the following bacteria counts during the first few days of her study.

a. Find a model for this data (Dont forget to define your varibles)

b. How many bacteria will there br after a month?

c. When will there be 150,000,000 bacteria? Document your solution process

2. Aztek Solar Co. has seen a 2.8% monthly growth in revenue in 2011. Last October\'s

revenue was $780,000

a. Write function

b. What will be the revenue on December?

c. When would the company expect to have monthly revenue of $1.5 million?

Solution

1. Since the ratio is same ,therefore the given data follows

y=ab^x

At x=0,y=300

300=a b⁰

a=300

y=300b^x

At x=3,y=600

600=300b³

b=2^1/3

Therefore the required function is

y= 300 * 2^x/3

b. In a month number of days =30

y=300*2^30/3 = 300*2¹⁰ = 307200

c. y=150000000

150000000=300* 2^x/3

500000=2^x/3

x=56.79days