Answer: B. The circumference of the middle tier is half the circumference of the bottom tier.
Step-by-step explanation:
Given : Stephanie is making a three-tier wedding cake where the tiers are stacked from largest to smallest from bottom to top.
Top
Structure of cake → Middle
Bottom
In Descending order of circumference: Bottom→ Middle→ Top (1)
Since , circumference of Bottom = b
The expression represents the total circumference of all three tiers = [tex]\dfrac{1}{4}b+\dfrac{1}{2}b+b[/tex]
In Descending order → [tex]b\to\dfrac{1}{2}b\to \dfrac{1}{4}b[/tex] (2)
From (1) and (2)
circumference of middle = [tex]\dfrac{1}{2}b[/tex] = half of b
circumference of top = [tex]\dfrac{1}{4}b[/tex] = One fourth of b
Hence, the statement best describes [tex]\dfrac{1}{2}b[/tex] is "The circumference of the middle tier is half the circumference of the bottom tier.".
Hence, the correct answer is Option (B)
Answer:
B. The circumference of the middle tier is half the circumference of the bottom tier
Step-by-step explanation:
The problem statement tells you b represents the circumference of the bottom tier. The other tiers have circumferences of 1/2b and 1/4b. 1/4b is smaller than 1/2b, so must be the circumference of the top tier. Then 1/2b is the circumference of the middle tier, and it is half that of the bottom tier.
The circumference of the middle tier is half that of the bottom tier.
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It is also true that the circumference of the top tier (1/4b) is half that of the middle tier (1/2b). However, we're to comment on the meaning of 1/2b, not the meaning of 1/4b.
