1. a research biologist is growing a strain of bacteria in her lab. She records
ID: 3427311 • Letter: 1
Question
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?
Days from initial observation 0 3 6 9 number of bacteria(in thousands) 300 600 1200 2400Explanation / Answer
1. Since the ratio is same ,therefore the given data follows
y=abx
At x=0,y=300
300=a b0
a=300
y=300bx
At x=3,y=600
600=300b3
b=21/3
Therefore the required function is
y= 300 * 2x/3
b. In a month number of days =30
y=300*230/3 = 300*210 = 307200
c. y=150000000
150000000=300* 2x/3
500000=2x/3
x=56.79days
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