Questions: Question 4
Credit Card Debt - Application
The function D(t) can be used to approximate the total average credit card debt in a U.S. household (in thousands of dollars) t years after 1995.
Interpret the meaning of the statement: D(24)=19.3.
In the year , the total average credit card debt for a U.S. household will be
Transcript text: Question 4
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The function $D(t)$ can be used to approximate the total average credit card debt in a U.S. household (in thousands of dollars) $t$ years after 1995.
Interpret the meaning of the statement: $D(24)=19.3$.
In the year $\square$ , the total average credit card debt for a U.S. household will be $\$$
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Solution
Solution Steps
Step 1: Identify the given value of t
The given value of t is 24, which corresponds to the year 2019.
Step 2: Calculate the year
The calculation for the year is 1995 + 24 = 2019.
Step 3: Evaluate the function D(t)
The function D(t) is evaluated to find the total average credit card debt in thousands of dollars for the given t. For t = 24, D(t) = 19.3 thousand dollars.
Step 4: Convert the debt value to dollars
The debt value in thousands of dollars is converted to dollars by multiplying by 1000. Thus, the total average credit card debt for a U.S. household in the year 2019 is $19300.
Final Answer:
The total average credit card debt for a U.S. household in the year 2019 is $19300.