Answer #1: 1. The equation is y=(127/30)x-11/10
2. If they played 20 games they had to make 84 shots and if they played 30 games they had to make 126 shots
3.(1)20 games with 84 shots

Explanation: I got the equation by setting up a X Y table. Putting games in the X colum and shots in the Y colum. Then i got the slope from that. Then I used the first point and the slope and put it in slope intercept form to get the equation. Then i substituted in 20 for X and got y=84 ans substituted 30 in for X and got y=126. Then from that i looked at the stats and the first one is best because it is exactly what I got and the other was a little off.

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Answer #2: The equation is y = (127/30) * x - 28/5. Using this equation, the number of shots made in 20 games is closer to the official number in the NBA, that the number of shots made in 30 games. In twenty games, the predicted number of shots made is about 79 shots, which is five shots short of the official number. In 30 games, the predicted number of shots is 121 shots, which is 7 shots short of the official number.

Explanation: First, I determined the two points to be used.
(10,41) , (40,168) I then calculated the slope of the line.
slope = (y2-y1)/(x2-x1)
slope = (168-41)/(40-10)
slope = 127/30

After finding the slope, I found the y-intercept using the second set of coordinates.
168 = (127/30) * 41 + b
168 = 173.6 + b
b = 168 - 173.6
b = -28/5

Finally, I put the equation together.

y = (127/30) * x - (28/5) I then used this equation to solve for the number of shots in twenty and thirty games.
y = 127/30 * 20 - 28/5
y = 127/30 * 30 - 28/5

y = 79 shots
y = 121 shots

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Answer#3: The prediction for the 20 game requirements is the one that compares the closest.

Explanation: At least this many
By Dustin Hacker
This equation asks me to find a prediction and compare it to the actual stats of the NBA.
To find these predictions I will let x = the # of games & I will let y = the # of shots made & I will use the info given to find the slope & put it into this equation y=mx+b.
(10,41) & (40,168) are the points I will use for this problem.
I will use y2-y1/x2-x1 =m. M will equal the slope.
41-168= -127 = 127
10- 41= - 30 = 30
m=127/30
next I will put the data given to me & put it into this equation, y-y1=m(x-x1)
I will use the point (10,41)
Y -41 = 127/30 (x - 10)
Simplify
Y= 127/30x - 4/3
Now I will plug in the 30 and then the 20 and find which one is closest to the actual stats.

Y= 127/30*20 - 4/3
Y=250/3 or 83 &1/3 shots
Y=127/30*30 - 4/3
Y=377/3 or 125&2/3 shots
The prediction for the 20 game requirements is the one that compares the closest.
20 games is the answer.

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Answer #4: the final equation of the problem is y=127/3x+41

Explanation: ok im gonna give this a try i am having a little trouble reading my own hand writing.
10=GAMES 41=SHOTS 40=GAMES 168=SHOTS

1.finding the equation slope =
Y2-Y1 168-41 Y-Y1=M(X-X1) Y-41=127/30
----- ------ x2-x1 40-10

THEN ADD 41 TO EACH SIDE SO Y-127/30(X-10)+41
NEXT MULTIPLY WHATS IN THE PARENTHESIS SO YOU GET Y=127/3X+41
THIS USES THE Y=MX+B FORMULA
now distribute 41 with the numbers in the parenthases so you get
127/30x-168/71
TASK NUMBER 2: IT WOULD BE 40 GAMES NEXT

NUMBER 3: 30 GAMES WITH A TOTAL OF 127 SHOTS

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