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Zack is going to send some flowers to his wife. Greenpoint Florist charges $1 per rose, plus
$30 for the vase. Ashley's Flowers, in contrast, charges $3 per rose and $10 for the vase. If
Zack orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. What would the total cost be?
Write a system of equations, graph them, and type the solution.

PLEASE DO SHOW THE GRAPH FOR BOTH OF THEM

Sagot :

Using linear functions, it is found that:

  • The system is:

[tex]y_G(x) = x + 30[/tex]

[tex]y_A(x) = 3x + 10[/tex]

  • Using the graph to find the solutions of the system, we have that the total cost would be of $40 at both shops.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the fixed value.

At Greenpoint Florist, $1 is charged per rose, plus $30 for the vase, hence, the equation is:

[tex]y_G(x) = x + 30[/tex]

At Ashley's Flowers, $3 is charged per rose, plus $10 for the vase, hence, the equation is:

[tex]y_A(x) = 3x + 10[/tex]

At the end of this answer, the two solutions are graphed, and it is found that when 10 roses are sold, the total cost would be of $40 for at both shops.

A similar problem is given at https://brainly.com/question/16302622

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