Question

the table below shoes the number of white and yellow flowers Cara used in five different arrangements.a. Are the numbers of white and yellow flowers in Cara's arrangements proportional?b. If it is a proportional relationship, which equations related the number of white flowers, x, to the number of yellow flowers, y?

Answer 1

to find if it is proportional all the data must fulfill the constant of proportionality.

in this case we can see a pattern in which the yellow flowers tend to be the double of the white flowers.

however this is not fulfilled when there are 7 white flowers, indicating that the arragements are not proportional

$y=kx$$\begin{gathered} 6=k\cdot(3) \\ \frac{6}{3}=k \\ 2=k \end{gathered}$

the constant of proportionality is 2

$\begin{gathered} 12=k\cdot7 \\ k=\frac{12}{7} \end{gathered}$