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.

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beth80325 beth80325 · Answer 1 · 2018-07-08T19:49:47+02:00

I did the test, and the answer was D.) 1.30 represents the 30% rate of weekly growth; 985.

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JeanaShupp JeanaShupp · Answer 2 · 2018-11-11T20:06:40+01:00

Answer:- (1) 1.30 represents the rate of growth of mold spores per week.

(2)There are 985 mold spores in 4 weeks .

Explanation:-

The exponential function is given by [tex]f(x)=C(1+r)^x[/tex] , where C is the initial amount , r is the rate of growth and x is time period.

The given function is [tex]f(x)=345(1.30)^x[/tex] , where initial number of mold spores= 345 and x is the time in weeks.

Now, [tex]f(x)=345(1.30)^x=345(1+.30)^x[/tex]

Here we can see that r = 0.30 =30%

Therefore ,1.30 represents the rate of growth of mold spores per week.

Now, mold spores after 4 weeks i.e. at x=4

[tex]f(4)=345(1.30)^4=345(2.85)=985.35\approx985[/tex]

There are 985 mold spores in 4 weeks.