Question

jamie is making bracelets using black and red beads. she uses 6 black ones for every 4 red beads. how do i represent the number of black beads for any given number of red beads using an equation and how do i identify the constant of proportionality?

Answer 1

`b\ -\ black\\r\ -\ red\\\\(b)/(r)=(6)/(4)\leftarrow\text{the constant of proportionality}\to \text{in simplest form}\ (6:2)/(4:2)=(3)/(2)\\\\(b)/(r)=(3)/(2)\ \ \ \ |\cdot r\\eq0\\\\b=(3)/(2)r\leftarrow\text{the equation}`