Question 1029842: When there are 30 girls in a dance, there are 12 boys in the dance. When there are 45 girls in the dance, there are 17 boys in the dance. Assume the relationship is linear.
Which equation models the relationship between the number of girls, x, and the number of boys, y?
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! If the relationship is linear, it has a slope.
We will call the girls, y, and the boys, x.
Here, slope = (change in girls) / (change in boys) so that
m = (45-30) / (17-12) = 15/5 = 3
Then we have y = mx + b where we plug in m and either data point, like this...
30 = 3(12) + b
30 = 36 + b
b = -6
so that our line becomes
y = 3x - 6
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