(3,24)(7,56)
slope = (56 - 24) / (7 - 3) = 32/4 = 8
y = mx + b
slope(m) = 8
(3,24)...x = 3 and y = 24
now we sub
24 = 8(3) + b
24 = 24 + b
24 - 24 = b
0 = b
so ur equation is : y = 8x + 0...or just y = 8x
to find ur answer, take ur answer choices and sub them into y = 8x and whichever one is true is ur answer.
Let X = the 29% alloy and Y = the 60% alloy.
They want a total of 80kg, so you have X +Y = 80
Rewrite that to get X = 80-Y
You also want 0.20X + 0.60Y = 0.52(80)
Replace X with 80-y:
0.20(80-y) + 0.60y = 0.52(80)
Simplify:
16 - 0.20y + 0.60y = 41.6
Combine like terms:
16 +0.40y = 41.6
Subtract 16 from each side:
0.40y = 25.6
Divide both sides by 0.40
y = 25.6 / 0.40
y = 64
Now you have Y replace y with 80 in X = 80-Y
X = 80 - 64
X = 16
They need 64 Kg of the 60% alloy and 16 Kg of the 20% alloy.
Joe is correct because Moe could choose two pieces but had a nine piece variety where as Joe could only choose from 7 pieces of candy
