The value, v, of your quarters (in cents) is a function of n, the number of quarters you have.
1. Use the sketchpad to draw an input-output diagram
to represent this function.
2. Write an equation that represents this function.
3. Find the output when the input is 10.
4. Identify the independent and dependent variables.

b

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

faster, im not sure why but i know it is faster