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 mol
2 answers:
1.30 represents the rate of growth of the mold spores. This decimal is a representation of the percentage growth, which would be 130%.
Since the function is written in terms of weeks, x will equal 4 to represent the amount of spores after 4 weeks. Plug the value into the function:
Rounded to the nearest ones value, there will be 985 mold spores after 4 weeks.
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To solve this problem, we must imagine the triangles and parallel lines which are formed. It is best to draw the triangle described in the problem so that you can clearly understand what I will be talking about.
The first step we have to do is to make an equality equation in triangle ABC.
In triangle ABC, we are given that lines XY and BC are two parallel lines (XY || BC). Therefore this means that:
AX / XB = AY / YC ---> 1
The next step is to make an equality equation in triangle AXC.
We are given that lines ZY and XC are two parallel lines (ZY || XC). Therefore this also means that:
AZ / ZX = AY / YC ---> 2
Combining 1 and 2 since they have both AY / YC in common:
AX / XB = AZ / ZX
we are given that:
AZ = 8, ZX = 4 therefore AX = AZ + ZX = 12, hence
12 / XB = 8 / 4
XB = 6
