The bowling alley and swimming pool both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The swimming pool costs $4 per person plus a $12 room rental fee. You have $40. At which location can you invite more people?Let x represent the number of people you invite. The expression that represents the amount you would spend on a birthday party at the bowling alley is Select...
.

The expression that represents the amount you would spend on a birthday party at the swimming pool is
Select...
.

With $40, you could invite
Select...
people to the bowling alley.

With $40, you could invite
Select...
people to the swimming pool.

You can invite more people if you have your birthday party at the
Select...
.

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz

step-by-step explanation:

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