The diagram below shows 5 identical bowls stacked one inside the other. The height of 1 bowl is 2 inches. The height of 5 bowls is 5 inches.

Part A: Write an equation using x and y to find the height of a stack of bowls based on any number of bowls.

Part B: Describe what the x and y variable represent.

Part C: Use the equation from Part A to find the number of bowls if the height of the stacked bowls is 12.5 inches.

Question

Mathematics

Dee

2 November, 00:30

The diagram below shows 5 identical bowls stacked one inside the other. The height of 1 bowl is 2 inches. The height of 5 bowls is 5 inches.

Part A: Write an equation using x and y to find the height of a stack of bowls based on any number of bowls.

Part B: Describe what the x and y variable represent.

Part C: Use the equation from Part A to find the number of bowls if the height of the stacked bowls is 12.5 inches.

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Answers (1)

Know the Answer?

Micah Strickland · Answer 1

(Bowls, Height) (1, 2) (5,5)

Slope is (5-2) / (5-1) = 3/4 inch

y = (3/4) x + b

(2) = (3/4) (1) + b

(2) - (3/4) = b

B=1.25. Y = 0.75*x + 1.25.

Part B

X is the number of bowls in the stack and Y is the corresponding height of the stack.