Question

a state park charges $60 per vehicle just to enter the park, and $10 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 (\frac{c}{p}) 2 $\square$ 4 $\square$ 5 $\square$ 8 $\square$

Explanation:

Step1: Determine the cost formula

The total cost \( c \) is the entry fee plus the cost per person times the number of people. So the formula is \( c = 60 + 10p \), where \( p \) is the number of people.

Step2: Calculate for \( p = 2 \)

Substitute \( p = 2 \) into the formula: \( c = 60 + 10\times2 = 60 + 20 = 80 \).

Step3: Calculate for \( p = 4 \)

Substitute \( p = 4 \) into the formula: \( c = 60 + 10\times4 = 60 + 40 = 100 \).

Step4: Calculate for \( p = 5 \)

Substitute \( p = 5 \) into the formula: \( c = 60 + 10\times5 = 60 + 50 = 110 \).

Step5: Calculate for \( p = 8 \)

Substitute \( p = 8 \) into the formula: \( c = 60 + 10\times8 = 60 + 80 = 140 \).

Answer:

For 2 people: \$80
For 4 people: \$100
For 5 people: \$110
For 8 people: \$140

(To fill the table:

• Number of people (p) = 2, Total cost (c) = \$80
• Number of people (p) = 4, Total cost (c) = \$100
• Number of people (p) = 5, Total cost (c) = \$110
• Number of people (p) = 8, Total cost (c) = \$140)