Answer:
360
Step-by-step explanation:
Machine A:
x(minutes) y(candies)
5 600
10 1200
15 1800
20 2400
In 5 minutes, Machine A produces candies = 600
So, it produces candies in 1 minute = ![\frac{600}{5}=120](https://tex.z-dn.net/?f=%5Cfrac%7B600%7D%7B5%7D%3D120)
So, machine A produces candies in 12 minutes :
= ![120\times12](https://tex.z-dn.net/?f=120%5Ctimes12)
= ![1440](https://tex.z-dn.net/?f=1440)
Machine B : y = 150x
Equation of line : ![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
where m denotes the rate of change.
So, comparing the given equation of Machine B .
Slope m = 150
So, rate of machine B = 150 candies per minute .
Since Machine b produces candies in 1 minute = 150
So, it produces candies in 12 minute = 150 *12 =1800
Thus Machine B produces 1800 and Machine A produces 1440 in 12 minutes .
So, no. of candies more Machine B produces than Machine A:
= 1800-1440
=360
Hence Machine B produces 360 more candies than Machine B in 12 minutes .