Interpreting Derivative Values in Context
The rate of change of a company’s stock price is modeled by the differentiable function $$G(t)$$, where $$G(t)$$ is measured in dollars per day and $$t geq 0$$ is the number of days. If $$G(5) = 12$$ and $$G'(5) = -2.4$$, which of the following statements correctly describes the stock price at $$t=5$$ days?
A
The stock price is increasing by $$12 per day, but this rate of increase is slowing down by $$2.40 per day per day.
B
The stock price is increasing by $$12 per day, and this rate will continue to increase by $$2.40 per day in the future.
C
The stock price is $$12 and is decreasing by $$2.40 per day.
D
The stock price increased by a total of $$12 over 5 days, and the growth rate decreased by $$2.40 on day 5.
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