y=24.69
Explanation
Direct proportion is the relation between two quantities where the ratio of the two is equal to a constant value
[tex]\begin{gathered} y=kx \\ wher\text{e k is the constant} \end{gathered}[/tex]
so
Step 1
find the constant
a)let
[tex]\begin{gathered} y=48 \\ x=35 \end{gathered}[/tex]
b) now, replace and solve for k
[tex]\begin{gathered} y=kx \\ 48=k*35 \\ divide\text{ both sides by 35} \\ \frac{48}{35}=\frac{k\times35}{35} \\ \frac{48}{35}=k \end{gathered}[/tex]
so, the relation is
[tex]y=\frac{48}{35}x[/tex]
Step 2
now, find y if x= 18
so
a) let
[tex]x=18[/tex]
b) now, replace in the relation
[tex]\begin{gathered} y=\frac{48}{35}x \\ y=\frac{48}{35}*18 \\ y=24.6857 \\ rounded \\ y=24.69 \\ \end{gathered}[/tex]
so, the answer is
y=24.69
I hope this helps you
