Sue adds charms to a charm bracelet. The table below shows how the weight of the bracelet changes each time she adds a charm.

Sue's Bracelet
Number of Charms ( x) Weight in Ounces ( y)
0 2.20
1 2.65
2 3.10
3 3.55
4 4.00
5 4.45
6 4.90
Which best describes the slope of the line that fits these data?
The slope, 0.45, represents the weight in ounces of one charm.
The slope, 0.45, represents the weight in ounces of the bracelet with no charms on it.
The slope, 2.20, represents the weight in ounces of one charm.
The slope, 2.20, represents the weight in ounces of the bracelet with no charms on it.

3.55

Step-by-step explanation:

The slope, 0.45, represents the weight in ounces of

what graph

step-by-step explanation:

, and

for

step-by-step explanation:

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

note the following:

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