Answer :
[tex]15\ inches\ cost\ 45\ cents\\
x\ inches\ cost\ 24\ cents\\\\
proportion:\\
15-45\\
x-24\\\\
cross\ multiplication\\\\
15*24=45x\\\\
360=45x\ \ \ | divide\ by\ 45\\\\
x=8\\\\
8\ inches\ of \ wire\ cost\ 24\ cents.[/tex]