Martha exprime 5 naranjas para hacer jugo. si ya tiene 3/5 litros de jugo, ? cuanto le falta para llenar un recipiente que tiene 9/10 de capacidad?

Martha squeezes 5 oranges to make juice. If she already has 3/5 liters of juice, how many times does she need to fill a container that has 9/10 capacity?

According to the problem, with 5 oranges Martha has litters of orange juice.

First we have to find how many litters are needed to reach the litters capacity of the container. This can be mathematically expressed as follows:

Let’s find X:

This means that Martha needs to reach the capacity.

Now, if 5 oranges represent , how many oranges represent ?

This can be solved by “the rule of three” also called cross-multiplication:

5 oranges--------

N oranges--------

This is equivalent to

This means Martha needs 2.5 oranges or to to fill a container that has 9/10 capacity.

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