The table shows the number of candies packed by machine a. the equation shows the number of candies packed by machine b. in both representations, x is a measure of the number of minutes and y is a measure of the number of candies packed. machine a candy packing x (minutes) y (candies) 5 600 10 1200 15 1800 20 2400 machine b: y = 150x how many more candies could machine b pack than machine a in 12 minutes? 40 360 400 600

360

Given:
Machine A Candy Packing
x(minutes)  y(candies)
  5               600
10             1200
15             1800
20             2400

Machine B : y = 150x

Find number of candies packed in 12 minutes.

Machine A : 600/5mins = 120 candies per minute
120 * 12 minutes = 1,440 candies

Machine B : y = 150x ⇒ y = 150(12) ⇒ y = 1,800

Machine B: 1,800
Machine A: 1,440
Difference      360

Machine B packed 360 more candies than Machine A in 12 minutes.

A= b/2 because u simplying both sides of equation