Question

A state park charges $40 per vehicle just to enter the park, and $16 for each person in the car.
Fill in the table to find how much it costs for 2, 4, 5, and 8 people. Use the calculator to help you solve.
Number of people (p) Total cost (c) Cost per person (
p
c
​
)
2 $
4 $
5 $
8 $

Answer 1

To calculate the total cost (c) for each number of people (p), we can use the formula:

\[
c = 40 + 16p
\]

Here, \(40\) is the entry fee for the vehicle, and \(16p\) is the cost for each person in the car.

Now let's fill in the table with the calculations:

1. **For 2 people**:
\[
c = 40 + 16 \times 2 = 40 + 32 = 72
\]

2. **For 4 people**:
\[
c = 40 + 16 \times 4 = 40 + 64 = 104
\]

3. **For 5 people**:
\[
c = 40 + 16 \times 5 = 40 + 80 = 120
\]

4. **For 8 people**:
\[
c = 40 + 16 \times 8 = 40 + 128 = 168
\]

Now we can fill in the table:

| Number of people (p) | Total cost (c) |
|----------------------|-----------------|
| 2 | $72 |
| 4 | $104 |
| 5 | $120 |
| 8 | $168 |

### Cost per person:

Finally, we can calculate the cost per person by dividing the total cost by the number of people:

1. **For 2 people**: \( \frac{72}{2} = 36 \)
2. **For 4 people**: \( \frac{104}{4} = 26 \)
3. **For 5 people**: \( \frac{120}{5} = 24 \)
4. **For 8 people**: \( \frac{168}{8} = 21 \)

Adding these to the table:

| Number of people (p) | Total cost (c) | Cost per person |
|----------------------|-----------------|------------------|
| 2 | $72 | $36 |
| 4 | $104 | $26 |
| 5 | $120 | $24 |
| 8 | $168 | $21 |

This is the complete table with total costs and costs per person!