QR.M.3
Choose and create, with and without technology, linear, exponential, logistic, or periodic models and curves of best fit for bivariate data sets. Use the models to answer questions and draw conclusions or make decisions, addressing limitations and long-term ramifications of chosen models when appropriate. Recognize when a change in model is needed.
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?
Which kind of function (exponential, linear, or neither) best models the relationship between time and the number of hens?
A company's profit (in dollars) from selling q units of a product is modeled by:
What is the instantaneous rate of change of profit when 20 units are sold?
What is the instantaneous rate of change of profit when 20 units are sold?
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?
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?
Khan Academy Resources
1-on-1 AI tutoring aligned to QR.M.3. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →