Question 695302: I wondering how to change story problems into a linear equations such as:
A phone company charges $.25 for the first minute of a long distance call and $.07 for each additional minute or if that is not enough I could give some more examples.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
There is a fixed cost, call that  , then there is a variable cost, call that  that is applied to each of some variable number of things, of which there are a count of  . Then the total cost is \ =\ C_f\ +\ C_vx) . In your phone company example, has to be one less than the total number of minutes because the first minute is covered by the fixed cost. So in that case, if you want to represent the total number of minutes, then your function would have to be \ =\ C_f\ +\ C_v(x\ -\ 1)) , or, in the case of the numbers you provided, \ =\ 0.25\ +\ 0.07(x\ -\ 1)) if you want Total Cost,  to be expressed in dollars, or \ =\ 25\ +\ 7(x\ -\ 1)) if it is acceptable to express total cost in cents.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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