MAFS.912.F-BF.1.2
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Algebra & Modeling - 36%
MAFS.912.
Functions & Modeling - 36%
MAFS.912.
Statistics, Probability, & the Numbering System - 28%
MAFS.912.
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MAFS.912.F-BF.1.2 – Write arithmetic and geometric sequences both recursively and with an explicit formula.
- The benchmark will be assessed using Equation Response, Movable Test Response, Multiple Choice Response, Table Response or Open Response.
- Items may require students to derive the formula for the sum of a finite geometric series (ex. mortgage payments).
- Items may require students to write an arithmetic or geometric explicit function from a given recursive formula and vice versa.
- Items may require students to compose or write functions with given information.
Example One
The function ƒ(x) = 0.16x represents the number of U.S. dollars equivalent to x Chinese yuan. The function g(x) = 13.60x represents the number of Mexican pesos equivalent to x U.S. dollars. You can use g(ƒ(x)) to find the number of Mexican pesos equivalent to x Chinese yuan. What is the value, in Mexican pesos, of an item that costs 15 Chinese yuan?
Example Two
A bank offers a savings account that accrues simple interest annually based on an initial deposit of $500. If S(t) represents the money in the account at the end of t years and S(5) = 575, write a function that could be used to determine the amount of money in the account over time. Show your work or explain your reasoning.
Example Three
Another bank offers a savings account that accrues compound interest annually at a rate of 3%. The bank in the previous problem offered $15 per year in interest.
What is the initial amount needed in this account so that it will have the same amount of money at the end of 10 years as the account in the previous problems at the end of 10 years? Show your work or explain your reasoning.
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