Step-by-step explanation:
The constant of proportionality (or constant of variation), denoted by "k," represents the constant proportion or ratio that exists between two variables, y and x, such that y = kx.
The given problem asks for you to identify the constant of proportionality and what it represents in context of the problem.
In the equation, y = 4.75x:
y = total cost in dollars earned
x = number of bracelets
The constant of proportionality, k = 4.75, represents the increase in total cost earned for every x number of bracelets sold. In other words, the total increases by 4.75 for every bracelet sold.
Thus, since Liv made x = 2 bracelets, then her total cost will equal to $9.50 because:
y = 4.75x
y = 4.75(2)
y = 9.50
