Question

The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25

Hector’s Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22

Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
Yes; y=35w
Yes; y=53w
No; y=3w+5w
No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional?
Which equation relates the number of white flowers, h, to the number of yellow flowers, e?
Yes; e=32h
Yes; e=23h
No; e=h+2
No; e=h−2

Answer 1

Part A

Yes, there is a proportional relationship in Cara's. For every 5 yellow flowers, there are 3 white flowers. 5:3. I didn't see an equation that would work for the equation in the question. The equation I found on my own would be 5w/3 = y

Part B

There is no proportional relationship in Hector's. The equation would be e=h-2.

Explanation: