. A local moving company charges a flat fee of $500 for the first 3 hours of all moves and $100 for each additional hour. The moving company uses the formula M(t)=100(t−3)+500, when t>3 to determine the cost of each move, M, based on the amount of time needed, t, in hours.

Question

Using the equation, complete the given table.

Answer 1

To fill out the table using the moving company's pricing formula \( M(t) = 100(t - 3) + 500 \) for \( t > 3 \), we will calculate the cost for various values of \( t \).

Let's assume we need to fill out the table for the following values of \( t \): 4, 5, 6, 7, 8.

Calculations:

1. For \( t = 4 \): \[ M(4) = 100(4 - 3) + 500 = 100(1) + 500 = 100 + 500 = 600 \]

2. For \( t = 5 \): \[ M(5) = 100(5 - 3) + 500 = 100(2) + 500 = 200 + 500 = 700 \]

3. For \( t = 6 \): \[ M(6) = 100(6 - 3) + 500 = 100(3) + 500 = 300 + 500 = 800 \]

4. For \( t = 7 \): \[ M(7) = 100(7 - 3) + 500 = 100(4) + 500 = 400 + 500 = 900 \]

5. For \( t = 8 \): \[ M(8) = 100(8 - 3) + 500 = 100(5) + 500 = 500 + 500 = 1000 \]

Filled Table

Now we can compile the results into a table format:

| \( t \) (hours) | \( M(t) \) (cost in dollars) | |------------------|-------------------------------| | 4 | 600 | | 5 | 700 | | 6 | 800 | | 7 | 900 | | 8 | 1000 |

This table summarizes the cost based on the additional hours required beyond the initial 3 hours.