Respuesta :
The proportional equation that represents the situation is:
y = 13x
What is a proportional relationship?
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality, also called slope.
In this problem, the points (number, cost) are: (3,39), (5,65) and (8,104), hence the slope is given by:
[tex]k = \frac{39}{3} = \frac{65}{5} = \frac{104}{8} = 13[/tex]
Hence, the equation is:
y = 13x.
More can be learned about proportional equations at https://brainly.com/question/10424180
The slope of the linear equation is $13 per necklace.
Linear equation
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope (rate of change), and b is the y intercept (initial value of y).
Let y represent the total charge for x number of necklaces.
From the table, using (3, 39) and (8, 104), hence:
m = (104 - 39) / (8 - 3) = 13
The slope of the linear equation is $13 per necklace.
Find out more on Linear equation at: https://brainly.com/question/14323743