There are 6 donuts in 1 bag, 12 donuts in 2 bags, 18 donuts in 3 bags, and so on. Show your work, how many donuts are in 8 bags? Choose the correct answer.
a) 14
b) 60
c) 48
d) 36
To find the pattern, we can see that the number of bags is increasing by 1 each time (1 bag, 2 bags, 3 bags, etc.) and the number of donuts in each bag is increasing by 6 each time (6 donuts, 12 donuts, 18 donuts, etc.).
So we can set up a table to represent the number of donuts:
1 bag -> 6 donuts
2 bags -> 12 donuts
3 bags -> 18 donuts
4 bags -> 24 donuts
5 bags -> 30 donuts
6 bags -> 36 donuts
7 bags -> 42 donuts
8 bags -> 48 donuts
From the pattern, we can see that there are 48 donuts in 8 bags. Therefore, the correct answer is c) 48.
To find out how many donuts are in 8 bags, we can follow the pattern given.
Each bag contains 6 donuts.
So if there are 1 bag, there would be 6 donuts.
For 2 bags, there would be 12 donuts.
For 3 bags, there would be 18 donuts.
We can see that the number of donuts increases by 6 each time we add a bag.
So, for 4 bags, there would be 6 + 6 = 12 more donuts, totaling 18 + 12 = 30 donuts.
For 5 bags, there would be 6 + 6 = 12 more donuts, totaling 30 + 12 = 42 donuts.
For 6 bags, there would be 6 + 6 = 12 more donuts, totaling 42 + 12 = 54 donuts.
For 7 bags, there would be 6 + 6 = 12 more donuts, totaling 54 + 12 = 66 donuts.
And finally, for 8 bags, there would be 6 + 6 = 12 more donuts, totaling 66 + 12 = 78 donuts.
Therefore, the correct answer is not listed among the options provided.
To find out how many donuts are in 8 bags, we can see that the number of donuts is increasing by 6 donuts with each additional bag. So, for each bag, the number of donuts is a multiple of 6.
We can set up a pattern to find the number of donuts in each bag:
Bag 1: 6 donuts
Bag 2: 12 donuts
Bag 3: 18 donuts
...
We can see that the number of donuts in each bag is 6 times the bag number. To find the number of donuts in 8 bags, we multiply 6 by 8.
6 donuts/bag * 8 bags = 48 donuts
Therefore, there are 48 donuts in 8 bags. The correct answer is (c) 48.