Xavier sells homemade necklaces for a profit of $22 per necklace. He is considering switching to a new type of pendant that will increase his profit, as expressed by the function y = 29x, where x is the number sold and y is the amount of profit.

How many more dollars will Xavier earn on each necklace if he switches to the new material? Explain how you found your answer.

Respuesta :

Xavier earns $7 more after switching to a new type of pendant and this can be determined by using the arithmetic operations.

Given :

  • Xavier sells homemade necklaces for a profit of $22 per necklace.
  • He is considering switching to a new type of pendant that will increase his profit, as expressed by the function y = 29x, where x is the number sold and y is the amount of profit.

The following steps can be used in order to determine the more money that Xavier earn on each necklace if he switches to the new material:

Step 1 - Remember according to the given data, Xavier sells homemade necklaces for a profit of $22 per necklace. The linear equation that represents this situation is:

[tex]y = 22x[/tex]

Step 2 - Also remember that after switching to a new type of pendant that will increase his profit, as expressed by the function:

y = 29x

Step 3 - Now, substitute the value of (x = 1) in the above equation.

y = 29(1) = $29

Step 4 - From the above step, it can be concluded that after switching to a new type of pendant Xavier earns $29 per necklace.

Step 5 - So, the difference in profit is given by:

= 29 - 22 = $7

So, Xavier earns $7 more after switching to a new type of pendant.

For more information refer to the link given below:

https://brainly.com/question/2096984