SOLUTION: Can someone help me on this problem: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additional minute or portion thereof. I need to write an i

Algebra ->  Inequalities -> SOLUTION: Can someone help me on this problem: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additional minute or portion thereof. I need to write an i      Log On


   

Question 54803: Can someone help me on this problem:
A long-distance phone call costs $1.11 for the first minute and $0.97 for each additional minute or portion thereof. I need to write an inequality representing the number of minutes a person could talk without exceeding $6.
Thanks, Ashley
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A long-distance phone call costs $1.11 for the first minute and $0.97 for each additional minute or portion thereof. I need to write an inequality representing the number of minutes a person could talk without exceeding $6.
:
Let m = no. of minutes used
:
The 1st minute is 1.11 and addition minutes will cost .97(m-1)
:
First minute + additional minutes =< $6
1.11 + .97(m-1) =< 6.00
:
1.11 + .97m - .97 =< 6.00
:
.97m + .14 =< 6.00
:
.97m =< 6.00 - .14
:
.97m =< 5.86
:
.97m =< 5.86/.97
:
m =< 6.04 minutes
:
m = 6 minutes
:
Check by finding out just what 6 min cost:
1.11 + 5(.97) = $5.96