I've joined this gaming app where you make money and the way you do that is by receiving these virtual gifts called "diamonds" which can convert into money. the minimum amount of money you're able to convert your diamonds into is $200 and you need a minimum of 40,000 diamonds to do so. i'm curious to know how many diamonds is equlivent to $20.if 40,000 diamonds is equivalent to $200, how many diamonds is equlivent to $20? .

First you need to find out how many diamonds are equivalent to $1.

$1 is equivalent to 200 diamonds, so you just multiply 200 times 20 to see how many diamonds are equivalent to $20

$20 is equivalent to 4,000 diamonds

It is easy to see that 20 is 200 divided by 10, so if you want one tenth of the dollar, you'll need one tenth of the diamonds.

Otherwise, simply write the proportion

and solve for x:

which is indeed one tenth of 40000

The maximum depth that he will reach is -125 meters.

The first thing you should realize is that this is a quadratic equation and the graph will be a parabola.

We can simply the equation to:

y = (1/20)x^2 - 5x

Now, use -b/2a to find the x-value of the vertex which is 50. Then, input 50 back into the equation to get -125 for the maximum depth.