Respuesta :

The equations for the regular cost is [tex]y=18.50 x[/tex] and

The equation for the party special is  [tex]y=15 x+28[/tex],

where y is the total cost in dollars and x is the number of students in the group.

Step-by-step explanation:

Step 1:

The regular cost per person is $18.50 per person.

So to calculate the total cost, all we need to do is multiply the number of students in the study group with the cost per person i.e. $18.50.

So the equation is [tex]y=18.50 x[/tex].

If x = 5, [tex]y=18.50(5)[/tex] = $92.50,

If x = 10, [tex]y=18.50(10)[/tex] = $185.00.

Step 2:

The party special costs $15 per person but has an additional fee of $28 for a private room where they can have lunch.

So to calculate the total cost we multiply the number of students in the group with the cost per person i.e. $15 and add it with the private room fee i.e. $15.

So the equation is [tex]y=15 x+28[/tex].

If x = 5, [tex]y=15 (5)+28[/tex] = $103.00

If x = 10, [tex]y=15 (10)+28[/tex] = $178.00.