Marco is studying a type of mold that grows at a fast rate. He created the function f(x) = 345(1.30)^x to model the number of mold spores per week. What does the 1.30 represent? How many mold spores are there after 4 weeks? Round your answer to the nearest whole number
A.1.30 represents the number of mold spores Marco had at the beginning of the study;985 mold spores
B.1.30 represents the number of mold spores grown in a given week;448 mold spores
C.1.30 represents the 30% rate of weekly growth; 345 mold spores
D.1.30 represents the 30% rate of weekly growth;985 mold spores
The number 1.30 represents the rate of weekly growth for the mold spores. It specifically indicates that the number of mold spores increases by 30% each week.
To find the number of mold spores after 4 weeks, we can substitute the value of x = 4 into the given function.
f(x) = 345(1.30)^x
f(4) = 345(1.30)^4
f(4) = 345(1.69)
f(4) ≈ 582.05
Rounded to the nearest whole number, there are approximately 582 mold spores after 4 weeks.
Therefore, the correct answer is not among the options provided.
The correct answer is:
C. 1.30 represents the 30% rate of weekly growth; 345 mold spores.
This means that the mold population is growing by 30% each week.
1.3 means it grows 30% per week
345 (1.3)^4 = 985