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 poin
To find how many more candies machine J could pack than machine K in 11 minutes, we need to first find the number of candies packed by each machine in 11 minutes.
For machine J, according to the table, the number of candies packed increases by 90 for every 3 minutes. Therefore, in 11 minutes, machine J would pack (11/3) * 90 candies.
For machine K, the equation y = 26x represents the number of candies packed by machine K. Plugging in x = 11, we get y = 26 * 11 = 286 candies.
To find the difference between the number of candies packed by machine J and machine K in 11 minutes, we subtract the number of candies packed by machine K from the number of candies packed by machine J:
(11/3) * 90 - 286 = 330 - 286 = 44
Therefore, machine J could pack 44 more candies than machine K in 11 minutes.