M.1HS.20.b
Combine standard function types using arithmetic operations. (e.g., 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.)
Example Problems
A radioactive isotope sample loses 35 % of its mass every 9 days. The mass M depends on time t (in days). The initial sample weighed 5 grams.
Write a function that models the mass remaining t days after the measurement began.
Write a function that models the mass remaining t days after the measurement began.
A tumor cell culture triples every 2.3 days. The cell count depends on time (in days). When observed, the culture contained 2 000 000 cells.
Write a function that models the cell count days after observation.
Write a function that models the cell count days after observation.
A tech startup's subscriber base increases by 72% every quarter (3 months). The subscriber count S depends on time t (in months). At launch, there were 2,200 subscribers.
Write a function that models subscribers t months after launch.
Write a function that models subscribers t months after launch.
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