Question

Question%0D%0A11. A local moving company charges a flat fee of $500 for the first 3 hours of all moves and $100 for each additional hour. The moving company uses the formula M(t)=100(t−3)+500, when t>3 to determine the cost of each move, M, based on the amount of time needed, t, in hours.%0D%0A%0D%0AUsing the equation, complete the given table.%0D%0A%0D%0A(4 points)%0D%0AFunction%09Cost of Moving%09Interpretation%0D%0AM (4)%09$%0D%0A%0D%0AM(8)%09$

Answer 1

To complete the table using the given formula \( M(t) = 100(t - 3) + 500 \) for \( t > 3 \), we need to substitute the values of \( t \) into the equation.

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

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

Now we can complete the table:

| Function | Cost of Moving | Interpretation |
|-----------|----------------|------------------------------------|
| \( M(4) \) | $600 | Cost for 4 hours of moving |
| \( M(8) \) | $1000 | Cost for 8 hours of moving |