The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.
Cara's Flower Arrangements
White
6 9 12
Yellow 5 10
20
3
15
15
25
White
Hector's Flower Arrangements
4
8 12 16
6 10 14 18
20
Yellow
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?
А.
В.
C. No: y = 3 + 5w
D. No: y = 5+ 3w
00.00
Part B
Are the numbers of white and yellow flowers in Hector's arrangements proportional?
Write an equation to relate the number of white flowers, h, to the number of yellow flowers, e.
A
Yes, e

Respuesta :

Answer:

Part A - Yes; y=5/3w        Part B - No; e=h+2

Step-by-step explanation:

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

Cara’s Flower Arrangements            Proportional

White 3 6 9 12 15

Yellow 5 10 15 20 25

Hector’s Flower Arrangements          Not Proportional

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=3/5w

Yes; y=5/3w CORRECT ANSWER

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=3/2h

Yes; e=2/3h

No; e=h+2 CORRECT ANSWER

No; e=h−2

They are correct because Part A is 1.666667  thats more than 1 so it cant be the first, and Part B, its the White flowers plus 2 to be Yellow flowers, not -.

Following are the solution to the given question:

  • Using the proportionate connection theory to model these two tables, we may conclude the first table is proportionate whereas the second is not.
  • Clara's configuration:

                   [tex]\bold{White (w) }\\\\\bold{Yellow (y)}[/tex]

  • To determine whether a relationship is proportionate, perform the following tests:

                    [tex]\bold{y = kw } \\\\\bold{5 = 3k}[/tex]

  • Yes, there seems to be a proportional relationship. Hector's set-up is as follows:

                  [tex]\bold{White (h) }\\\\\bold{Yellow (e)}\\\\[/tex]

  • The number of yellow flowers always out-numbers the number of white blooms by a factor of 2. As a result, the relationship could be modeled as follows;

               [tex]\to \bold{e = h + 2}[/tex]

  • As a result, the relationship is not proportionate.

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