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

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 =

So, machine A produces candies in 12 minutes :

=  

=  

Machine B :  y = 150x

Equation of line :

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 .

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