Note: For questions 20-22, your teacher will grade your responses to ensure you receive proper credit for your answers.
Find the common difference in the outputs to help find the missing outputs in the table. Be sure to show your work.
a
5
6
7
8
9
b
3.8
4.6
5.4
6.2
7
To find the common difference in the outputs, you subtract the previous output from the current output. For example, to find the common difference between 5 and 6, you would do 6-5=1. Continuing this pattern, you would find the common difference between 6 and 7 is also 1, and so on. Therefore, the common difference in the outputs is 1.
Using this information, we can find the missing outputs in the table. To find the output for a=10, we add 1 to the previous output for a=9 (which was 9), so the output for a=10 is 10. For b=8, we add 1 to the previous output for b=7 (which was 6.2), so the output for b=8 is 7.2.
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To find the common difference in the outputs, we need to examine the difference between consecutive values. Let's observe the difference between pairs of consecutive values:
Difference between 6 and 5: 6 - 5 = 1
Difference between 7 and 6: 7 - 6 = 1
Difference between 8 and 7: 8 - 7 = 1
Difference between 9 and 8: 9 - 8 = 1
Since the difference between all the pairs of consecutive values is 1, we can determine that the common difference is 1.
To find the missing outputs, we can continue adding the common difference to the last given output. Let's compute the missing outputs using this information:
Last given output, b = 5.4
Next output = b + common difference = 5.4 + 1 = 6.4
Next next output = 6.4 + common difference = 6.4 + 1 = 7.4
Therefore, the missing outputs in the table are:
b = 5.4
Next output = 6.4
Next next output = 7.4