Acellular service provider charged a customer $40 for 150 minutes of airtime. the same provider charged another customer $55 for 300 minutes of airtime. which linear model represents the total cost, c, as a function of t, the amount of airtime in minutes?

Explanation:

So, we are looking for a linear equation. As we know Equation of a line has different forms, let´s use slope-intercept form:

Where C is the total cost as a function of t, t is the amount of airtime in minutes, m is the slope and b is the y-intercept

Now, let´s use the data provide in order to find m and b:

  (E1)

  (E2)

We have a 2X2 system of equations, let´s solve it using elimination method:

Replacing b in (E1) or (E2):

Knowing the slope m and the y-intercept b the linear model that represents the total cost as a function of t is:

You can check the results evaluating t=150 and t=300, the results must be 40 and 55 respectively

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