Question
The loan amount is a function of time and can be represented by the line of best fit y=15,413−1,635x
, where x is the number of years. How much is left on the loan after 9 years?(1 point)
The loan amount is $ ____ after 9 years.
, where x is the number of years. How much is left on the loan after 9 years?(1 point)
The loan amount is $ ____ after 9 years.
Answers
GPT-4o mini
To find the amount left on the loan after 9 years, you can substitute \( x = 9 \) into the equation of the line of best fit:
\[
y = 15,413 - 1,635x
\]
Substituting \( x = 9 \):
\[
y = 15,413 - 1,635(9)
\]
Calculating \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Now substitute this value back into the equation:
\[
y = 15,413 - 14,715
\]
Calculating \( 15,413 - 14,715 \):
\[
y = 698
\]
Thus, the amount left on the loan after 9 years is:
\[
\text{The loan amount is } \$698.
\]
\[
y = 15,413 - 1,635x
\]
Substituting \( x = 9 \):
\[
y = 15,413 - 1,635(9)
\]
Calculating \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Now substitute this value back into the equation:
\[
y = 15,413 - 14,715
\]
Calculating \( 15,413 - 14,715 \):
\[
y = 698
\]
Thus, the amount left on the loan after 9 years is:
\[
\text{The loan amount is } \$698.
\]