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Answer:
The perimeter of the figure as a function of the number of triangles is .
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle (), the total perimeter is (
).
ii) For two triangles (), the total perimeter is (
)
iii) For three triangles (), the total perimeter is (
)
iv) For four triangles (), the total perimeter is (
)
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is .
Let the amount of shells collected by Aaron be 
and the amount of shells collected by Maria be 
respectively. Then the following system of equations should be solved:
First of all, express out of first equation:
Then, replace in second equation with found expression and solve it:
Finally, replace in first equation with found value and solve it too:
So, Aaron has found 7 shells while Maria has found 21.
First of all, express
Then, replace
Finally, replace
So, Aaron has found 7 shells while Maria has found 21.