Laboratory technicians recorded the population of a species of bacteria each hour for 7 hours. The population in
thousands after x hours can be modeled by the exponential function f(x) = 575(1+040).
Choose the correct answer from each drop-down menu to complete the statements.
The initial population of bacteria when the technicians began recording was BLANK 1.
The population is BLANK 2 at the rate of BLANK 3 per hour.
BLANK 1 ?
805,000
575,000
230,000
BLANK 2 ?
805,000
575,000
230,000
BLANK 3
805,000
575,000
230,000
can you give me the work for blank 2
To find the correct answer for Blank 2, we need to evaluate the function f(x) at x=0 (since it represents the initial population).
Substituting x=0 into the function f(x) = 575(1+0.40), we have:
f(0) = 575(1+0.40)
f(0) = 575(1.40)
f(0) = 805
Therefore, the initial population of bacteria when the technicians began recording was 805,000.