Question

*write a rule for the function below:

input (e)	output (n)
30	5
42	7
24	4
60	10

*rule: ____________

Explanation:

Step1: Analyze the relationship between input and output

Let's take the first pair: input \( e = 36 \), output \( n = 6 \). Let's check \( 36\div6 = 6 \)? No, \( 36\div6 = 6 \)? Wait, \( 36\div6 = 6 \)? Wait, \( 36\div6 = 6 \)? Wait, no, \( 36\div6 = 6 \)? Wait, no, \( 36\div6 = 6 \)? Wait, let's check \( 36\div6 = 6 \)? Wait, no, \( 36\div6 = 6 \)? Wait, maybe \( e\div6 = n \)? Let's check: \( 36\div6 = 6 \), which matches the first output. Second pair: \( 30\div6 = 5 \), which matches the output 5. Third pair: \( 42\div6 = 7 \), matches. Fourth: \( 24\div6 = 4 \), matches. Fifth: \( 60\div6 = 10 \), matches. So the rule is output \( n \) is input \( e \) divided by 6.

Step2: Formulate the rule

So the function rule is \( n=\frac{e}{6} \), or in words, to get the output \( n \), divide the input \( e \) by 6.

Answer:

To find the output \( n \), divide the input \( e \) by 6 (or \( n=\frac{e}{6} \))