A. What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.

Step-by-step explanation:

The total dunk tank will be the range within the box plot i.e between 450 and 600. The total dunk tank will be 600-450 = 150.

The dunk tanks require at least 500 gallons of water is the dunk tank of 500 gallons and below. Since the dunk tank starts from 450, the dunk tanks require at least 500 gallons of water will be between 450 and 500 which is equivalent to 500-450 = 50

The fraction of the dunk tanks require at least 500 gallons of water will be expressed as number of tanks that requires at least 500 gallons/total dunk tank.

fraction of the dunk tanks require at least 500 gallons of water =

=

if x = 1, then the answer is 3.5

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