You and your friends go to the movies. the cost of admission is $9.50 per person. create a table showing the relationship between the number of people going to the movies and the total cost of admission. explain why the cost of admission is proportional to the amount of people.

Hello There,

Since each ticket costs $9.50, the cost for one person must also be $9.50. For two people it would be $19.00 (9.50×2), and so on. The cost of the tickets are proportional to the amount of people. This is because the tickets sell at a constant rate, also know as the constant of proportionality, which in this case is 9.50.

Hope this Helps Have a Nice Day Bye

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1