Question

determining function machine rule
name:
determine what rule the function machine is using.
multiply by 9 multiply by 4 subtract 11 subtract 11
divide by 7 multiply by 7 add 8 divide by 8
add 13
answers
1)
input output
56 8
63 9
21 3
70 10
35 5
2)
input output
2 14
7 49
10 70
8 56
9 63
3)
input output
32 45
43 56
40 53
13 26
36 49
1
2
3
4)
input output
45 53
15 23
20 28
38 46
35 43
5)
input output
4 16
10 40
5 20
8 32
9 36
6)
input output
23 12
37 26
31 20
60 49
40 29
4
5
6
7)
input 61 59 34 33 47
output 50 48 23 22 36
8)
input 4 3 9 8 5
output 36 27 81 72 45
7
8
9
10
11
12
input 24 16 56 32 48
output 3 2 7 4 6

Explanation:

Step1: Test divide by 7 for Q1

$\frac{56}{7}=8$, $\frac{63}{7}=9$

Step2: Test multiply by 7 for Q2

$2\times7=14$, $7\times7=49$

Step3: Test add 13 for Q3

$32+13=45$, $43+13=56$

Step4: Test add 8 for Q4

$45+8=53$, $15+8=23$

Step5: Test multiply by 4 for Q5

$4\times4=16$, $10\times4=40$

Step6: Test subtract 11 for Q6

$23-11=12$, $37-11=26$

Step7: Test subtract 11 for Q7

$61-11=50$, $59-11=48$

Step8: Test multiply by 9 for Q8

$4\times9=36$, $3\times9=27$

Step9: Test divide by 8 for Q9

$\frac{24}{8}=3$, $\frac{16}{8}=2$

Answer:

1. Divide by 7
2. Multiply by 7
3. Add 13
4. Add 8
5. Multiply by 4
6. Subtract 11
7. Subtract 11
8. Multiply by 9
9. Divide by 8