Question

A bacteria sample can be modeled by the function f(x) - 350(1.20) which gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values in this function? 11) A) The initial number of bacteria is 350. B) The number of bacteria at the end of one day is 350. 9 The initial number of bacteria decreases at a rate of 20% D) The number of bacteria increases at a rate of 120% each day.

Answer 1

Answer: A) The initial number of bacteria is 350.

Explanation:

Exponential growth equation:
`f(x)=A(1+r)^x` , where A=Initial value, r= growth rate. (i)

Given: A bacteria sample can be modeled by the function
`f(x) = 350(1.20)`which gives the number of bacteria in the sample at the end of x days.

Here,
`f(x)=350(1+0.20)`

Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)

So, the best interpretation of one of the values in this function are:

A) The initial number of bacteria is 350.