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A figure skating school offers introductory lessons at $25 per session. There is also a registration fee of $30. Write a linear equation in slope- intercept firm that represents the situation. You want to take at least 6 lessons. Can you pay for those lessons using a $200 gift certificate? If so,how much money,if any, will be left on the gift certificate? If not,explain why not

Respuesta :

Answer:

$20 will be left on the gift certificate.

Step-by-step explanation:

The cost per session = $25

so the slope of the equation that represent the situation is 25

Registration fee = $30

so y-intercept is 30

An equation is:

[tex]y=25x+30[/tex]

The cost for 6 lessons is

[tex]25(6)+30 = 150+30=180[/tex]

A $200 gift certificate would pay for the lessons.

And $20 would be left.

dsdrajlin

Answer:

y = $25/session . x + $30

You can pay with a $200 gift certificate and there will be $20 left.

Step-by-step explanation:

Let's call

  • x = number of lessons
  • y = total price

The slope-intercept form of the linear equation has the following form.

y = a . x + b

where,

a is the slope

b is the y-intercept

The slope represents how much you pay per session, that is, a = $25/session.

Before starting your first lesson (x = 0), you have to pay the registration fee (y = $30). Then

$30 = $25/session . 0 + b

b = $30

The linear equation is

y = $25/session . x + $30

If you  want ot take 6 lessons (x = 6),

y = $25/session . 6 + $30

y = $180

You can pay with a $200 gift certificate and there will be $200 - $180 = $20 left.

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