SOLUTION: You are choosing between two different cell phone plans. The first plan charges a root of $.22 per minute. The second plan charges a monthly fee of $29.25 plus 12 cents per minute.

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Question 1203508: You are choosing between two different cell phone plans. The first plan charges a root of $.22 per minute. The second plan charges a monthly fee of $29.25 plus 12 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the cost(in dollars) of the first and second plan. Given equation in terms of t, and then find the number of talk minutes that would produce the same cost for both plans.
C1=
C2=
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
Exactly as is written!

-

You just follow what is described. Not mysterious. Simple Reading comprehension.


Time in minutes for both plans to be equal cost, 293 TO THE NEAREST MINUTE;
or 292 minutes in case any fraction of a minute is not rounded upward.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
You are choosing between two different cell phone plans.
The first plan charges a rate of $.22 per minute.
The second plan charges a monthly fee of $29.25 plus 12 cents per minute.
Let t be the number of minutes you talk and C1 and C2 be the cost(in dollars) of the first and second plan.

find the number of talk minutes that would produce the same cost for both plans.
~~~~~~~~~~~~~~~~~ 

First plan variable cost is   (t) = 0.22*t.

Second plan variable cost is  (t) = 29.25 + 0.12*t,

where t is the talking time in minutes.


You want to know time t such that  (t) = (t).


So, you write an equation

    0.22t = 29.25 + 0.12t.


You collect the terms with t on the left side and keep the constant term on the right side

    0.22 - 0.12 = 29.25


Simplify

       0.1t     = 29.25

and find t

          t     = 29.25/0.1 = 292.5.


ANSWER.   292.5 minutes talking time will produce the same cost for both plans.

Solved.



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