SOLUTION: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additoinal minute or portion thereof. Write an inequality representing the number of minutes a person

Click here to see ALL problems on Inequalities

Question 77173: A long-distance phone call costs $1.11 for the first minute and $0.97 for each additoinal minute or portion thereof. Write an inequality representing the number of minutes a person could talk with out exceeding $6.
$1.11 first minute / 4.85 additional minute
Confuse on how to write an inequality...thanks.

Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website!

AT LEAST YOU ARE CORRECT ABOUT THE $1.11 AND THE $4.85
Let x=number of minutes a person could talk without exceeding $6
Cost of first minute = $1.11
Cost of remaining minutes = $0.97(x-1)---must subtract out first minute
So, our inequality to solve is:
$1.11+$0.97(x-1) is less than or equal to (<=)$6.00 -----------------ans
$1.11+$0.97(x-1)<=$6.00 get rid of parens
$1.11+$0.97x-$0.97<=$6.00 subtract $1.11 and add $0.97 to both sides
$1.11-$1.11+$0.97x-$0.97+$0.97<=$6.00-$1.11+$0.97 collect like terms
$0.97x<=$5.86 divide both sides by $0.97

x<=6.04 minutes we have to round back to 6 minutes---can't round up or it would break the bank
CK
1st minute = $1.11
other 5 minutes=5($0.97)=$4.85
$4.85+$1.11<=$6.00
$5.96<=$6.00

Hope this helps----ptaylor