[MOVED] Dividing w/ functions: find formula, fill in blanks

[jat1]

Dividing with functions

Find the rule and fill in the blanks:

1) Rule: f(n) = ________________

 n                    f(n)
100                    13
160                    15
220                   ___ 
260                   ___
300                   ___
340                   ___
420                   ___
500                   ___

2) Rule: f(n) = ________________

 n                   f(n)
100                   11
150                   13
225                  ___
275                  ___
325                  ___
400                  ___
475                  ___
525                  ___

 

[stapel]

There are probably infinitely-many functions that could fit the two listed data points. But your subject line, "Division with functions", implies that you and/or your book have something specific in mind. Please provide that information.

Thank you.

Eliz.

 

[jat1]

Eliz

Thanks for your prompt response. This is all the information we were given. In the other problems on this worksheet, you were given the rule and had to solve the f(n). This is a worksheet for my almost 7th grade daughter, and we think it may be unsolvable based on the information given.

 

[stapel]

...we think it may be unsolvable based on the information given.

I'm sure the author had something specific in mind, but I would agree with your assessment: As written, there is no unique answer.

Eliz.

 

[Denis]

Well, if what is given is used, you could say that:

1) an increase of 60 to n means an increase of 2 to f(n),
then the increase to f(n) is 1/30 per unit increase to n, so:
f(n) = 13 + (n-100) / 30

2) an increase of 50 to n means an increase of 2 to f(n),
then the increase to f(n) is 1/25 per unit increase to n, so:
f(n) = 11 + (n-100) / 25