Question 954944
P=Peter's; H=Helen's; m=miles
P=$68+$0.40m
H=$23+$0.65m
When cost is equal:
$68+$0.40m=$23+$0.65m Subtract ($23+$0.40m) from each side.
$45=$0.25m Divide each side by $0.25
180mi=m ANSWER:Both companies charge the same at 180 miles
P=$68+$0.40(180)=$140 ANSWER: The equal cost would be $140.
CHECK:
H=$23+$0.65(180)=$23+$117=$140 (same)