Luisa makes and sells necklaces. The total amount she charges varies directly imeaning it's proportional so it
starts at the
.) to the number of necklaces bought. Find the slope. Then write an equation in y = mx
form to represent the situation.
Number of Necklaces,
3 5 8
Total Charge (S).
$39
$65
$104
Equation

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