Question

The table below shows the cost for a popular cruise. There is a booking fee plus a cost per day. Help VideoNumber of Days Cost ($)4 6755 8006 925(2 points)The cost per day is $The booking fee is $

Answer 1

To find the cost per day and the booking fee, we can use the information provided in the table.

Let’s denote:
- \( B \) as the booking fee,
- \( C \) as the cost per day.

We have the following equations based on the number of days and total cost:

1. For 4 days:
\( 4C + B = 675 \) (Equation 1)

2. For 5 days:
\( 5C + B = 800 \) (Equation 2)

3. For 6 days:
\( 6C + B = 925 \) (Equation 3)

Now, let's solve these equations.

**Subtract Equation 1 from Equation 2:**

\[
(5C + B) - (4C + B) = 800 - 675
\]

This simplifies to:

\[
C = 125 \quad (1)
\]

**Subtract Equation 2 from Equation 3:**

\[
(6C + B) - (5C + B) = 925 - 800
\]

This simplifies to:

\[
C = 125 \quad (2)
\]

Now that we know \( C = 125 \), we can substitute this value back into one of the equations to find the booking fee \( B \). Let's use Equation 1:

\[
4C + B = 675
\]

Substitute \( C = 125 \):

\[
4(125) + B = 675
\]

\[
500 + B = 675
\]

Now solve for \( B \):

\[
B = 675 - 500
\]
\[
B = 175
\]

Thus, the cost per day is \( \text{\$125} \) and the booking fee is \( \text{\$175} \).

**Final answer:**
- The cost per day is **$125**.
- The booking fee is **$175**.