A 9-inch diameter pizza has 30 calories per square inch. About how many calories are in the entire pizza?
2 answers:
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We can write,
n = inside triangle size
Label and explain grouping method :
I grouped the covered triangles, each had 3 colored tiles.
That were 3 sets,
3 * 3 = 9
Then I noticed the left over colored border tiles were the same amount as the inner triangles minus 1,
So,
The equation is,
9 + 3(n-1)
3 because triangles have 3 sides
A mathematical expression to represent grouping strategy :
9 + 3(n-1) or 9 + 3(x-4)
Number of green tiles,
= 9 + 3(8-1)
= 9 + 21
= 30
Let us assume, green colored triangles = 72
So,
We can write,
9 + 3(n-1) + (n x n) = 72
9 + 3(n-1) + = 72
+ 3n + 8 = 72
+ 3n = 66
+ 3n -66 = 0
Therefore,
The mathematical expression = 9 + 3(n-1)
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