An amusement park charges an admission fee of 30 dollars per person. The cost, [tex]$C$[/tex] (in dollars), of admission for a group of [tex]$p$[/tex] people is given by the following function:

[tex]C(p) = 30p[/tex]

What is the cost of admission for a group of 4 people?



Answer :

To determine the cost of admission for a group of 4 people at the amusement park, follow these steps:

1. First, recognize the function provided for calculating the cost of admission. The function is:
[tex]\[ C(p) = 30p \][/tex]
where [tex]\( C(p) \)[/tex] represents the total cost in dollars and [tex]\( p \)[/tex] represents the number of people in the group.

2. Substitute the number of people in the group into the function. In this case, [tex]\( p = 4 \)[/tex].

3. Perform the substitution and calculate the cost:
[tex]\[ C(4) = 30 \times 4 \][/tex]

4. Now, multiply 30 by 4:
[tex]\[ 30 \times 4 = 120 \][/tex]

5. Therefore, the cost of admission for a group of 4 people is 120 dollars.

So, the total cost of admission for a group of 4 people is $120.