Question

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.

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.