This year, a small business had a total revenue of $18,700. If this is 15% less than their total revenue the previous year, what was their total revenue the previous year?

The business's total revenue the previous year was $22,000.

Step-by-step explanation:

Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.

100% - 15% = 85%

So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.

So really, this question is asking 18,700 is 85% of what?

Y = P% of WHAT?

18,700 = 85% of X

18,700 = 0.85 · X

Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.

18,700 ÷ 0.85 = 0.85 · X ÷ 0.85

Simplified, this is 22,000 = X

So their total revenue the previous year was $22,000.

This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.

$21,505

Step-by-step explanation:

$18,700×115%=$18,700×115/100

=$21,505

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