Explore a diverse range of topics and get expert answers on IDNLearn.com. Our experts provide timely, comprehensive responses to ensure you have the information you need.

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?


Sagot :

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.