We need to find thr rate of change (slope) of the line joining these two points ~
Slope of the line (m) joining the two points is 2 ~
78 x 100 = 7800
<span>How many times does 190 go into 780? </span>
<span>≈ 4....190 x 4 = 760 </span>
<span>780 - 760 = 20...bring down the extra 0 to make it 200. </span>
<span>How many times does 190 go into 200? </span>
<span>≈ 1...subtract 190 from 200 to get a remainder of 10 </span>
<span>190 ÷ 7800 ≈ 41</span>
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Since it’s a 10 team league and each team plays with the other team twice then 10+10=20, thus there would be 20 games played
Answer:
y = 2x + 1
Step-by-step explanation:
You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.
3 times 2, and plus1
gives you 7.
Test it on the other numbers.
-1 times2, and plus1
2(-1)+1 = -1
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
It works for all the numbers.
You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"
(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.
If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.
