A state park charges $40 per vehicle just to enter the park, and $16 for each person in the car.

Question

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!