SOLUTION: A telephone company offers two long-distance plans. Plan A: $25 per month and 5¢ per minute Plan B: $6 per month and 14¢ per minute For how many minutes of long-distance calls w

Algebra ->  Inequalities -> SOLUTION: A telephone company offers two long-distance plans. Plan A: $25 per month and 5¢ per minute Plan B: $6 per month and 14¢ per minute For how many minutes of long-distance calls w      Log On


   

Question 896337: A telephone company offers two long-distance plans.
Plan A: $25 per month and 5¢ per minute
Plan B: $6 per month and 14¢ per minute
For how many minutes of long-distance calls would plan B be financially advantageous?
A)(6, 14]
B)(14, 211)
C)(14, ∞)
D)[0, 211)
E)[6, 25]
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
Plan A = 25 + .05x
Plan B = 6 + .14x
At what point will they be equal?
25 + .05x = 6 + .14x
Subtract .05x from each side
25 = 6 + .09x
Subtract 6 from each side
19 = .09x
Divide each side by .09
x = 211.111111
Plan B is more advantageous for callers who use 211 minutes or less
Plan A is more advantageous for callers who use 212 minutes or more.