Questions: An amusement park charges an admission fee of 50 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.
C(p)=50p
What is the cost of admission for a group of 4 people?
dollars
Transcript text: An amusement park charges an admission fee of 50 dollars per person. The cost, $C$ (in dollars), of admission for a group of $p$ people is given by the following function.
\[
C(p)=50 p
\]
What is the cost of admission for a group of 4 people?
$\square$ dollars
Solution
Solution Steps
To find the cost of admission for a group of 4 people, we need to substitute \( p = 4 \) into the given function \( C(p) = 50p \) and calculate the result.
Step 1: Define the Cost Function
The cost of admission for a group of \( p \) people is given by the function:
\[
C(p) = 50p
\]
Step 2: Substitute the Value
To find the cost for a group of 4 people, we substitute \( p = 4 \) into the cost function:
\[
C(4) = 50 \times 4
\]
Step 3: Calculate the Cost
Calculating the above expression gives:
\[
C(4) = 200
\]
Final Answer
The cost of admission for a group of 4 people is \(\boxed{200}\).