I need complet answer why for each expression is correct or not Can you please h

Question

I need complet answer why for each expression is correct or not

Can you please help me?

Suppose that p(t) measures the position of a car along a road (in miles from the cars starting point) at time t, where t is measured in hours after midnight. Suppose that g (p) indicates the price of gas in dollars per gallon at the nearest gas station to position p on the road. With these functions, only one of the following quantities makes sense in a real application. Identify it, and explain why the rest do not make sense. (Consider the units of each expression. Make sure that the input to each function is the appropriate type of unit, and that two expressions are only added if they have the same type of unit.) g'(p(t))p'(t) g'(t) p(t) + g(p(t)) g'(p(t)) + p'(t)

Explanation / Answer

option A is right

since the price of gas g(p) depends on the position P on the road at the nearest gas station.

it indicates g'(p(t)).p'(t) is the right one

p(t) can't be added to g(t) , both are different units.

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