Please Help!!

Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.

Option 1: $53 for each ticket plus a shipping fee of $10

Option 2: $55 for each ticket and free shipping

What is a system of equations to represent the costs of the tickets?

Express your equations in the form of y=mx+b where x is the number of tickets purchased and y is the total cost.

Respuesta :

Answer:

system of equations are

y=53x + 10, y=55x

Step-by-step explanation:

y=mx+b where x is the number of tickets purchased and y is the total cost.

We need to frame the equation for each option

Option 1: $53 for each ticket plus a shipping fee of $10

1 ticket cost = 53

So x tickets cost = 53x

shipping fee = $10 so b= 10

So equation becomes y=53x + 10

Option 2: $55 for each ticket and free shipping

1 ticket cost = 55

So x tickets cost = 55x

shipping fee =0 so b= 0

So equation becomes y=55x

In this exercise we have to use the knowledge of equations to assemble a system, in this way we have:

[tex]Y=53x+10\\Y=55x[/tex]

Organizing the information given in the statement, we have that:

  • $53 for each ticket plus a shipping fee of $10
  • $55 for each ticket and free shipping

With this information we can call set up the equation as:

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

Where:

  • x is the number of tickets purchased
  • y is the total cost.

That way we have:

A)

[tex]m = 53x\\b= 10\\y=53x + 10[/tex]

B)

[tex]m= 55x\\b= 0\\ y=55x[/tex]

See more about system at brainly.com/question/7589753