Ahiker is descending 152 m every 8 minutes what will be hikers change in elevation in half an hour. write as an integer

Solving this problem is just pretty straight forward. All we have to do is to use the concept of ratio and proportion.

First, let us say that the change in elevation in half an hour (30 minutes) takes the value of variable x.

From the given, we know that the ratio of height and time is:

152 m : 8 minutes

And the next ratio is:

x : 30 minutes

To solve for the value of x, we equate the two:

152 m : 8 minutes = x : 30 minutes

We know that the symbol of ratio which is “:” also means division, therefore:

152 m / 8 minutes = x / 30 minutes

x = 152 m * 30 minutes / 8 minutes

x = 570 m

Therefore the change in elevation after half an hour is 570 meters.

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

a

step-by-step explanation: