M.TMS.36

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Example Problems
A small farm has 120 hens. Each month, the farm acquires 5 additional hens.

Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
Tanya has a valuable stamp collection worth .
Each decade the collection's value increases by
.

Which kind of function (exponential, linear, or neither) best models the relationship between time and the collection's value?
A newly discovered star has an initial brightness of 500 lumens.
Each month, the star's brightness decreases by
.

Which kind of function (exponential, linear, or neither) best models the relationship between time and the star's brightness?
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