Let N=f(t) be the number of candy bars my son Ben has consumed by age t in years. Interpret f(12)=300, paying close attention to units. Interpret f′(12)=27, paying close attention to units. Given the information from subquestions 6.1 and 6.2, use the tangent line approximation to approximate the total number of candy bars Ben will have eaten by the time he is 14 years old.
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Let N=f(t) be the number of candy bars my son Ben has consumed by age t in years.
Interpret f(12)=300, paying close attention to units.
Interpret f′(12)=27, paying close attention to units.
Given the information from subquestions 6.1 and 6.2, use the tangent line approximation to approximate the total number of candy bars Ben will have eaten by the time he is 14 years old.
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