Liv earns $9.50 for every two bracelets she sells. the equation y = 4 . 75 x can be used to represent this situation. what is the constant of proportionality?



Answer :

The Constant of proportionality represented in equation is 4.75

The Constant of Proportionality defines the value which will remain constant in the whole system of equations. In the given equation, Liv earns $9.50 for selling every two bracelets. The equation represents the sale of Liv on the basis of its price and quantity and the Total amount that she gets. The equation is represented as y = 4.75x

Here, y is the total amount she gets, x is the number of pieces that she sold, and 4.75 is the constant of proportionality. In this case, the constant can be defined as the price of one bracelet that she sells.

This constant can be derived by simply dividing the total amount by the total number of pieces that she sells. It can be represented by :

               => y/x = c , where c is the constant

               => 9.5/2 = c  => c = 4.75

Hence, the Constant of Proportionality is 4.75.

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