Judah's family wants to ride the bumper boats at a water park. There are 4 children(c) and 2 adults (a) in Judah's family. The boats are safe if 40c + 12a \(\leq\) 500.Can judah's family ride the bumper boats safely?
Okay. I mean I guess I won't need them if we are just plugging the numbers in.
We have the equation \(40c + 12a \leq 500\).
Plugging in \(4\) for c and \(2\) for a,
we get:
\(40(4) + 12(2) \leq 500\)
\(= 160 + 24 \leq 500\)
\(= 184 \leq 500\).
Since \(184\) is less than \(500\), the boats are safe.
Therefore, Judah's family can ride the bumper boats safely.
So the answer is \(\boxed{yes}\).