Suppose the rate of change of total personal income I in the United States (in billions of dollars) can be modeled by , where t is the number of years past 1960. The value of are approximately $19,312.13 and $1,162.81 respectively which are been evaluated by using the arbitrary constant that is been evaluated by using the data point from 1960. Interpret . Round your answer to two decimal places, if necessary.
A) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be decreasing at a rate of $1,162.81 billion per year.
B) Means that the model predicts that in 2020, the total personal income is predicted to be $1,162.81 billion dollars and will be increasing at a rate of $19,312.13 billion per year.
C) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be increasing at a rate of $1,162.81 billion per year.
D) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be increasing at a rate of $1,162.81 billion per month.
E) Means that the model predicts that in 2020, the total personal income is predicted to be $1,162.81 billion dollars and will be decreasing at a rate of $19,312.135 billion per month.

Question

Suppose the rate of change of total personal income I in the United States (in billions of dollars) can be modeled by  , where t is the number of years past 1960. The value of  are approximately $19,312.13 and $1,162.81 respectively which are been evaluated by using the arbitrary constant that is been evaluated by using the data point from 1960. Interpret  . Round your answer to two decimal places, if necessary. ​ 
A) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be decreasing at a rate of $1,162.81 billion per year. 
B) Means that the model predicts that in 2020, the total personal income is predicted to be $1,162.81 billion dollars and will be increasing at a rate of $19,312.13 billion per year. 
C) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be increasing at a rate of $1,162.81 billion per year. 
D) Means that the model predicts that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be increasing at a rate of $1,162.81 billion per month. 
E) Means that the model predicts that in 2020, the total personal income is predicted to be $1,162.81 billion dollars and will be decreasing at a rate of $19,312.135 billion per month.

Quizplus · Accepted Answer

The given expression 11eb0d3b_9890_7eac_9790_1d81a8584d53_TB1243_11 represents that in 2020, the total personal income is predicted to be $19,312.13 billion dollars and will be increasing at a rate of $1,162.81 billion per year. This can be interpreted by using the given model which gives the rate of change of total personal income in billions of dollars as a function of time t, measured in years past 1960. Therefore, in the year 2020, we can plug in t = 60 to the given expression to get the predicted values.

Suppose the Rate of Change of Total Personal Income I