Suppose a computer virus begins by infecting 8 computers in the first hour it is released. Each hour after that, each newly infected computer causes 8 more computers to become infected. The function y = 8 (exponent x) models this situation. make a table with integer values of x from 1 to 4.
Lotula
To create a table with integer values of x from 1 to 4 using the function y = 8^x, we substitute each value of x into the equation to find the corresponding value of y.
Starting with x = 1:
y = 8^1 = 8
Moving to x = 2:
y = 8^2 = 8 * 8 = 64
Next, for x = 3:
y = 8^3 = 8 * 8 * 8 = 512
Finally, for x = 4:
y = 8^4 = 8 * 8 * 8 * 8 = 4,096
Now, let's put these values into a table:
| x | y |
|----|----|
| 1 | 8 |
| 2 | 64 |
| 3 | 512 |
| 4 | 4096 |
This table shows the corresponding values of x and y, where x represents hours and y represents the number of infected computers at each hour.
1 8
2 64
3 512
...