Answer:
\\x= P/(c -d)[/tex],
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Step-by-step explanation
Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge of additional $d for every minute.
Thus, the monthly cost of a customer who consumes x minutes in each plan is:
For the first plan: [tex]cx[/tex]
and for the second plan: [tex]P + dx[/tex]
Considering that the monthly costs must be the same in each plan, you have to:
[tex]cx = P + dx\\ transposing terms
\\cx - dx = P\\ applying common factor
\\(c -d)x = P\\ dividing by [tex]c - d[/tex]
\\x= P/(c -d)[/tex].
For example if [tex]c = $2; d = $1 y P = $10[/tex], Then the number of minutes would be, [tex]x=10[/tex] and the total cost for each plan would be [tex]$20[/tex]
