Abaker has 34 cup of sprinkles to spread on cupcakes. each cupcake needs 18 cup of sprinkles. the baker uses the fraction model that is partially shown to find the number of cupcakes that will have sprinkles. mediaimg7358611486128321.jpg34=6 which is the correct division equation that describes the model? a. 18 ÷ b. 34÷18=8 c. 34÷18=6 d. 18÷34=332

This problem should say 3/4 cup and 1/8 cup. When these are the values, it becomes a division problem with an answer of 6. Whenever you are given a total amount you need to break it into equal groups, this is a division problem.

3/4 divided by 1/8 is actually 6/8 broken into groups of 1/8. That is why your answer is 6.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

B. because the 7 represents "seven times", x represents "a number", 12 represents "plus twelve", and -4 represents "minus four"