The gross domestic product (GDP) of a certain country is projected to be billion dollars t yr from now. What will be the rate of change of the country's GDP 5 yr from now?
A) $15 billion/yr
B) $13 billion/yr
C) $7 billion/yr
D) $12 billion/yr

Question

The gross domestic product (GDP) of a certain country is projected to be  billion dollars t yr from now. What will be the rate of change of the country's GDP 5 yr from now?
A) $15 billion/yr 
B) $13 billion/yr 
C) $7 billion/yr 
D) $12 billion/yr

Quizplus · Accepted Answer

Since the question asks for the rate of change of GDP, we need to find the derivative of the GDP function with respect to time. Let the GDP function be denoted as G(t), where t is time in years. Then we are given that G(t+1) = 11eaa8b1_dc45_0584_b1b6_097587ecef90_TB6026_11, where t+1 represents 1 year from now. Taking the derivative with respect to t, we get:
dG/dt = 0 (since the GDP is constant with respect to time)
Therefore, the rate of change of GDP 5 years from now is also 0. This means that the GDP is projected to remain constant over the next 5 years, and none of the answer choices are correct. However, this is likely a mistake in the question, and the closest answer choice is D) $12 billion/yr.

The Gross Domestic Product (GDP) of a Certain Country Is