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General Information

Related Standards: MAFS.912.F-BF.1.1
Reporting Category: Functions: Building Functions
Type: EE: Equation Editor
Difficulty: N/A
Question:

Chantel drew a picture of her dog on a piece of paper that is 12 centimeters long. She used a copy machine to enlarge her drawing. She used the 115% setting to make each new copy. She then used each new copy to generate the next copy, using the same copier setting.

Enter a recursive formula that will give the length of each new copy.

Possible Answer:
begin mathsize 12px style a subscript 1 equals 12 end style

begin mathsize 12px style a subscript n equals 1.15 a subscript n minus 1 end subscript end style

Other correct responses:

begin mathsize 12px style a subscript 1 equals 13.8 end style

any equivalent recursive equation for begin mathsize 12px style a subscript n end style


Aligned Standards

Code Description
MAFS.912.F-BF.1.1: Write a function that describes a relationship between two quantities.
  1. Determine an explicit expression, a recursive process, or steps for calculation from a context.
  2. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
  3. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.


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