Suppose that a certain basketball athlete earned $10,000,000 to play 80 games, each lasting 48 minutes. (assume no overtime games.) a. how much did the athlete earn per game? b. assuming the athlete played every minute of every game, how much did he earn per minute? c. assuming that the athlete played 2/3 of every game, how much did he earn per minute? d. suppose the, averaged over a year, the athlete practiced or trained 37 hours for every game and then played every minute. including this training time, what was his hourly salary?

a) 125,000

b)32.55

c)48.82

d) 125,533

Step-by-step explanation:

The basketball athlete earned 10,000,000 dollars to play 80 games.

a) How much did the athlete earn per game

We need to divide his total income by the number of games:

10,000,000 / 80 = 125000

He makes 125000 per game.

b) Assuming the athlete played every minute of every game, how much did he earn per minute?

Now that we know how much he earns per game, we need to find how much he earned per minute considering every game has 48 minutes. So we have to multiply 48 by 80 to get the total amount of minutes of the season. 48 x 80 = 3840 minutes.

So we need to divide his income per game by the number of minutes per game:

125000 /3840 = 32.55

He earns 32.55 dollars per minute.

c) Assuming that the athlete played 2/3 of every game, how much did he earn per minute?

We need to find how many minutes of every game is 2/3.

48 minutes 1

X2/3

x= 48 x (2/3) = 32.

So he played 32 minutes per game, but since there were 80 games, he played:

32 x 80 = 2560 minutes

But he still makes 125000 per game so we are going to divide his earnings between the total of minutes he played

125000 /2560 = 48.82.

Therefore he earned 48.82 per minute.

d) Suppose the, averaged over a year, the athlete practiced or trained 37 hours for every game and then played every minute. Including this training time, what was his hourly salary?

If he trained 37 hours, we know that every hour has 60 minutes, so 37 hours in minutes would be: 37 x 60 = 2220 minutes of training.

He played every minute of every game (we already said this was 2560 minutes)

So he had 2220 + 2560 minutes in total = 4780 minutes = 79.66 hours

Now we're going to divide this by his salary: 10,000,000/ 79.66 = 125,533

His hourly salary was 125,533.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

ƒ = 0.03b

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step-by-step explanation: