i need help! my last math question cant figure out! whats the rule for input 3 output 9 input 4 output 16 input blank output 25 input 6 output blank input 10 output 100, thank you been stuck for over 30 minutes!!!!
3 >> 9
4 >> 16
__>> 25
6 >> ___
10 >> 100
The outputs sure look like squares of the inputs.
The answer would be x times x so..
3•3=9
4•4=16
5•5=25
6•6=36
10•10=100
The input is almost always x
The output is almost always y
So y= x•x
To find the rule for this sequence of inputs and outputs, we need to look for a pattern.
Let's start by examining the relationship between the inputs and outputs.
For the first pair, when the input is 3, the output is 9. This indicates that when the input is increased by 1, the output is increased by 3.
Similarly, for the second pair, when the input is 4, the output is 16. Again, we can see that when the input is increased by 1, the output is increased by 4.
We can continue this pattern for the remaining pairs:
- For the third pair, when the input is increased by 1 (from blank to 5), the output is increased by 5 (from blank to 25).
- For the fourth pair, when the input is increased by 1 (from 5 to 6), the output is increased by 6 (from 25 to blank).
- For the fifth pair, when the input is increased by 1 (from 6 to 7), the output is increased by 7 (from blank to blank).
- Finally, for the sixth pair, when the input is increased by 1 (from 7 to 8), the output is increased by 8 (from blank to blank).
From this analysis, we can conclude that the rule for this sequence is that the output is equal to the square of the input.
So, for the blank inputs, we need to determine the square of the input values.
For the blank input between 4 and 6, the input is 5. So, the output will be 5 squared, which is 25.
Similarly, for the blank input between 6 and 10, the input is 7. So, the output will be 7 squared, which is 49.
To summarize:
- When the input is 5, the output is 25.
- When the input is 7, the output is 49.
I hope this helps! Let me know if you have any further questions.