Question

some help and I need an answer asap explain it to me pls

Answer 1

a)

$\begin{gathered} \frac{29}{4}\text{cups of yellow}\rightarrow\frac{29}{16}cups\text{ of blue } \\ 1\text{ yellow cup}\rightarrow\frac{29}{16}\div\frac{29}{4}=\frac{29}{16}\times\frac{4}{29}=\frac{4}{16}=\frac{1}{4}cups\text{ of blue paint} \end{gathered}$

So therefore 1/4 cups of blue paint will be used for 1 cup of yellow paint.

b) So for this we will assume this relationship:

$\begin{gathered} x=ky \\ \text{where k is the constant of proportionality:} \\ x=\frac{35}{8} \\ y=\frac{35}{2} \end{gathered}$

So substituting the values of and y into the equation above:

$\begin{gathered} \frac{35}{8}=k\times\frac{35}{2} \\ \frac{35}{8}\div\frac{35}{2}=k \\ \frac{1}{4}=k \\ \text{The constant of proportionality that relates the quantities x and y is:} \\ \frac{1}{4} \end{gathered}$