Complete the table below with the amount, y, that Charlie charges his clients in total with the consultation fee and various hours of personal training. You can solve on paper and then enter your answer on Zearn.

Question

y = 18 + 12x

Hours (x) Amount charged (y)
3
6
9

Answer 1

To find the amount charged (y) based on the number of hours (x) of personal training, we can use the formula provided:

\[ y = 18 + 12x \]

Now, let's calculate the amount for each given number of hours.

1. For 3 hours (x = 3): \[ y = 18 + 12(3) = 18 + 36 = 54 \]

2. For 6 hours (x = 6): \[ y = 18 + 12(6) = 18 + 72 = 90 \]

3. For 9 hours (x = 9): \[ y = 18 + 12(9) = 18 + 108 = 126 \]

Now we can complete the table:

| Hours (x) | Amount charged (y) | |-----------|---------------------| | 3 | 54 | | 6 | 90 | | 9 | 126 |

Thus:

• For 3 hours: $54
• For 6 hours: $90
• For 9 hours: $126