The table shows the height of the tennis ball at different time intervals. By substituting different values of x into the equation y = -6x + 36x, we can calculate the corresponding values of y. The height of the ball decreases from 30 feet to 0 feet, then increases back to 30 feet, and finally returns to 0 feet as the ball hits the ground after 6 seconds.
To complete the table, we need to calculate the height of the tennis ball at different time intervals. The equation given for the height of the tennis ball is y = -6x + 36x, where y represents the height of the ball in feet and x represents the time in seconds after the ball is hit.
We can plug in different values of x into the equation to calculate the corresponding values of y.
Table:
| x | y |
|---|---|
| 0 | 0 |
| 1 | 30 |
| 2 | 48 |
| 3 | 54 |
| 4 | 48 |
| 5 | 30 |
| 6 | 0 |
To calculate the values of y, we substitute each value of x into the equation y = -6x + 36x and simplify.
1. For x = 0:
y = -6(0) + 36(0) = 0
2. For x = 1:
y = -6(1) + 36(1) = -6 + 36 = 30
3. For x = 2:
y = -6(2) + 36(2) = -12 + 72 = 48
4. For x = 3:
y = -6(3) + 36(3) = -18 + 108 = 54
5. For x = 4:
y = -6(4) + 36(4) = -24 + 144 = 120
6. For x = 5:
y = -6(5) + 36(5) = -30 + 180 = 150
7. For x = 6:
y = -6(6) + 36(6) = -36 + 216 = 180