Question

An amusement park charges an admission fee of 50 dollars for each person. let c be the cost (in dollars) of admission for p people. write an equation relating c to p . then use this equation to find the cost of admission for 17 people.

Answer 1

Answer:

The equation that relates c to p is :

$c=(50\frac{dollars}{person}).(p)$

The cost of admission for 17 people is $850$ dollars.

Step-by-step explanation:

We know that the amusement park charges an admission fee of $50$ dollars for each person. We also know the variables for this problem :

$c:$ ''The cost (in dollars) of admission for $p$ people''

$p:$ ''The number of people''

In the hypothetical case in which we have one person, the admission fee will be $50$ dollars.

Now, in the hypothetical case in which we have two people, the admission fee will be $(50).(2)=100$ dollars. We obtained this value by multiplying the cost that the amusement park charges for each person by the number of people. Therefore, the equation that relates $c$ to $p$ is :

$c=(50\frac{dollars}{person}).(p)$

Finally to find the cost of admission for 17 people, we only need to replace in the equation the variable $p$ by 17 :

$c=(50\frac{dollars}{person}).(17people)=850dollars$

We found out that the cost of admission for 17 people is 850 dollars.

Answer 2

Equation : C=50p
Answer : C=50*17=850