Question

the cost to enter the park is $6 per vehicle plus $2 per person. the people in each car decide to split the cost equally. match the amount of money each person would spend with the number of people in the vehicle. you will not use all the choices in the answer bank. 2 people a. $3.25 4 people b. $5 10 people c. $2.12 50 people d. $3.50 e. $2.60 f. $4.16

Explanation:

Step1: Calculate total cost formula

Let $n$ be the number of people. The total cost $C$ to enter the park for a vehicle is $C = 6+2n$. The cost per - person $P=\frac{6 + 2n}{n}=\frac{6}{n}+2$.

Step2: Calculate cost per - person for $n = 2$

Substitute $n = 2$ into $P=\frac{6}{n}+2$. Then $P=\frac{6}{2}+2=3 + 2=5$.

Step3: Calculate cost per - person for $n = 4$

Substitute $n = 4$ into $P=\frac{6}{n}+2$. Then $P=\frac{6}{4}+2 = 1.5+2=3.5$.

Step4: Calculate cost per - person for $n = 10$

Substitute $n = 10$ into $P=\frac{6}{n}+2$. Then $P=\frac{6}{10}+2=0.6 + 2=2.6$.

Step5: Calculate cost per - person for $n = 50$

Substitute $n = 50$ into $P=\frac{6}{n}+2$. Then $P=\frac{6}{50}+2=0.12+2=2.12$.

Answer:

2 people - b. $5
4 people - d. $3.50
10 people - e. $2.60
50 people - c. $2.12