Question

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.

Answer 1

Answer:

$y=2x+27$.

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.

$m=\frac{103-55}{38-14}$

$m=\frac{48}{24}$

$m=2$

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

$y=mx+b$

$55=2(14)+b$

$55=28+b$

$55-28=28-28+b$

$b=27$

Therefore, our required equation would be $y=2x+27$.