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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.

1 Answer

2 votes

Answer:


y=72.99+28.45(x-1).

Explanation:

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

The slope
d of the function is given by


d= (\$101.44-\$72.99)/(2-1)


\boxed{ d=28.45}

thus we have


y=c+28.45(x-1).

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


\$72.99=c+28.45(1-1)


\boxed{c=72.99}

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


\boxed{ y= 72.99+28.45(x-1)}

User Israel Kusayev
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