he 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:

A.

1. no, y = 5 + 3w

B.

no, e = h + 2

Step-by-step explanation:

Using the principle of proportional relationship to model the two tables, we can infer that, the first first table is proportional while the second isn't.

Clara's arrangement :

Testing if relationship is proportional :

5 = 3k

[tex] k = \frac{5}{3}[/tex]

Yes, the relationship is proportional [tex] y = \frac{5}{3}w[/tex]

Hector's arrangement :

The number of yellow flowers surpasses the number of white flowers by a constant value of 2.

Hence, the relationship can be modeled thus ;

Therefore, the relationship is not proportional.

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