F-BF.1.b

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.

Example Problems
A charity receives online donations dollars and in‑person donations dollars t quarters after a campaign launches.
Let
be the campaign's cumulative donations t quarters after launch.
Write a formula for
.
An online ad campaign's click‑through rate and the number of impressions days after launch.
Let
be the expected number of clicks t days after launch.
Write a formula for
.
A water tank is being filled by two pumps. Pump 1 adds water at liters, and Pump 2 at liters after minutes.
Let
T be the total volume of water pumped into the tank after minutes.
Write a formula for
.
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