The table shows the number of candies packed by Machine J. The equation shows the number of candies packed by Machine K. In both representations, x is a measure of the number of minutes and y is a measure of the number of candies packed.
Machine J Candy Packing
x (minutes)
3
6
9
12
y (candies)
90
180
270
360
Machine K: y = 26x
How many more candies could machine J pack than machine K in 11 minutes? (4 points)
To find out how many more candies machine J could pack than machine K in 11 minutes, we need to substitute 11 into the equation for machine K and subtract the result from the number of candies packed by machine J in 11 minutes.
Using the equation for machine K, we substitute x = 11:
y = 26x
y = 26(11)
y = 286
So, machine K could pack 286 candies in 11 minutes.
To find out how many more candies machine J could pack than machine K in 11 minutes, we subtract the number of candies packed by machine K from the number of candies packed by machine J:
90 candies (packed by machine J in 3 minutes) - 286 candies (packed by machine K in 11 minutes) = -196
Therefore, machine J could pack -196 more candies than machine K in 11 minutes.