Samuelquinones2006
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URGENT NEEDS ANSWERED RIGHT AWAY Talk of the Town is a cell phone provider. They charge by the month. The first month of service costs $72.99. The second month of service costs $101.44. The third month of service costs $129.89. Write an equation in the form of y=c+d(x−1)
to represent this situation. Explain how you got your equation.

Respuesta :

Poltergeist

Answer:

[tex]y=72.99+28.45(x-1).[/tex]

Step-by-step explanation:

If we are to write an equation of the form [tex]y=c+d(x-1)[/tex], then the function is linear; therefore, it has a constant slope [tex]d[/tex].

The slope [tex]d[/tex] of the function is given by

[tex]d= \dfrac{\$101.44-\$72.99}{2-1}[/tex]

[tex]\boxed{ d=28.45}[/tex]

thus we have

[tex]y=c+28.45(x-1).[/tex]

Now we find [tex]c[/tex] from the fact that the first month of service costs $72.99, which gives us [tex](x,y)= (1, 72.99)[/tex], or

[tex]\$72.99=c+28.45(1-1)[/tex]

[tex]\boxed{c=72.99}[/tex]

Substituting the values of [tex]d[/tex] and [tex]c[/tex], we get our equation in the final form:

[tex]\boxed{ y= 72.99+28.45(x-1)}[/tex]

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