Question
The loan amount is a function of time and can be represented by the line of best fit y=15,413−1,635xy=15,413−1,635x , where x is the number of years. How much is left on the loan after 9 years?(1 point) Responses $0 $0 $2,333 $2,333 $832 $832 $698
Answers
GPT-4o mini
To find out how much is left on the loan after 9 years using the given line of best fit, we can substitute \( x = 9 \) into the equation \( y = 15,413 - 1,635x \).
Substituting in the value of \( x \):
\[
y = 15,413 - 1,635(9)
\]
Calculating \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Now substituting this back into the equation for \( y \):
\[
y = 15,413 - 14,715
\]
Calculating the final value:
\[
y = 698
\]
So, the amount left on the loan after 9 years is **$698**.
Substituting in the value of \( x \):
\[
y = 15,413 - 1,635(9)
\]
Calculating \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Now substituting this back into the equation for \( y \):
\[
y = 15,413 - 14,715
\]
Calculating the final value:
\[
y = 698
\]
So, the amount left on the loan after 9 years is **$698**.