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The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses 14 GB, the monthly cost will be $55. If the customer uses 38 GB, the monthly cost will be $103. A) Find an equation in the form y = m x + b , where x is the number of GB of data used in a month and y is the total monthly cost of the Blurizon plan.

Respuesta :

Answer:

[tex]y=2x+27[/tex].

Step-by-step explanation:

We have been given that when a customer uses 14 GB, the monthly cost will be $55. When the customer uses 38 GB, the monthly cost will be $103. We are asked to write an equation in slope-intercept form, where x is the number of GB of data used in a month and y is the total monthly cost of the Blurizon plan.

We have been given two points on line (14,55) and (38,103).  

Let us find slope of line.

[tex]m=\frac{103-55}{38-14}[/tex]

[tex]m=\frac{48}{24}[/tex]

[tex]m=2[/tex]

Now, we will use slope-intercept form of equation.

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

[tex]55=2(14)+b[/tex]

[tex]55=28+b[/tex]

[tex]55-28=28-28+b[/tex]

[tex]b=27[/tex]

Therefore, our required equation would be [tex]y=2x+27[/tex].

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