Answer:
[tex]At\ 200\ miles\ cost\ of\ two\ agencies\ will\ be\ same.[/tex]
Step-by-step explanation:
[tex]Let\ at\ x\ miles\ the\ cost\ of\ two\ agencies\ are\ same.[/tex]
Cost of first agency:
Per day charges[tex]=\$ 25[/tex]
Cost for x miles[tex]=0.15\times total\ miles=0.15\times x=0.15x[/tex]
Total cost of first agency[tex]=25+0.15x[/tex]
Cost of second agency:
Per day charges[tex]=$35[/tex]
Cost for [tex]x\ miles=0.10\times x=0.10x[/tex]
Total cost of second agency[tex]=35+0.10x[/tex]
When two costs are equal
[tex]25+0.15x=35+0.10x\\\\0.15x-0.10x=35-25\\\\0.05x=10\\\\x=\frac{10}{0.05}\\\\x=200\ miles[/tex]
