Paul can walk 15 steps in 5 minutes. how long does it take paul to walk 75 steps at the same speed ?

Step-by-step explanation:

 1. you have to make a proportion

The proportion is 15 steps/ 5 minutes  

2. Next you have to find the variable in the next proportion, so the variable would be the number of minutes

So the proportion would look like 75 steps/ “ x” minutes  

3. Solve.  15 steps/ 5 minutes= 75 steps/ “ x” minutes  (Cross multiply)

15x=5x75

15x=375

x=25

4. So the answer is 25 minutes to walk 75 steps

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