A newborn calf weighs about 90 pounds. Each week, it's weight increases by 5%. a) If we were to graph this growth, would it be a
linear or exponential function? b) How do you know? Support your answer.
2 answers:
Answer:
Exponential. Because of its cumulative nature (gain of weight) and its growth rate (5%).
Step-by-step explanation:
It's a growth graph given by an exponential function because every gain of weight is cumulative to the earlier week's. This function can be modeled this way since the rate of growth (5%) was given, which is added by 1 then plugged into the formula. Besides, this model is identical to Interest Composite Rate, which follows the same basic structure, namely Cumulative Growth at a given rate.
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Given:
The function is:
To find:
The domain of the given function.
Solution:
Domain is the set of input values.
We have,
It is a quadratic polynomial.
We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:
Domain = Set of all real number
Domain = (-∞,∞)
Therefore, the correct option is B.