Answer:
The equation that relates c to p is :
[tex]c=(50\frac{dollars}{person}).(p)[/tex]
The cost of admission for 17 people is [tex]850[/tex] dollars.
Step-by-step explanation:
We know that the amusement park charges an admission fee of [tex]50[/tex] dollars for each person. We also know the variables for this problem :
[tex]c:[/tex] ''The cost (in dollars) of admission for [tex]p[/tex] people''
[tex]p:[/tex] ''The number of people''
In the hypothetical case in which we have one person, the admission fee will be [tex]50[/tex] dollars.
Now, in the hypothetical case in which we have two people, the admission fee will be [tex](50).(2)=100[/tex] 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 [tex]c[/tex] to [tex]p[/tex] is :
[tex]c=(50\frac{dollars}{person}).(p)[/tex]
Finally to find the cost of admission for 17 people, we only need to replace in the equation the variable [tex]p[/tex] by 17 :
[tex]c=(50\frac{dollars}{person}).(17people)=850dollars[/tex]
We found out that the cost of admission for 17 people is 850 dollars.
