Question

The diagram shows 5 indentical bowls stacked one inside the other.

the heigh 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

linearly
initially, x=1, y=2
x=5, y=5
find slope
slope=changey/changex=(2-5)/(1-5)=-3/-4=3/4

y=3/4x+b
find y intercept
for x=1, y=2
2=3/4(1)+b
2=3/4+b
5/4=b

y=3/4x+5/4 is da equation



b. x is number of bowls and y is height


c.

12.5=y
12.5=3/4x+5/4
times both sides by 4
50=3x+5
mins 5
45=3x
divide both sides by 3
15=x
15 bowls