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 out how much is left on the loan after 9 years using the line of best fit equation \( y = 15,413 - 1,635x \), you need to substitute \( x \) with 9.
The equation becomes:
\[
y = 15,413 - 1,635(9)
\]
Now, calculate \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Substituting this back into the equation gives:
\[
y = 15,413 - 14,715
\]
Now, subtract \( 14,715 \) from \( 15,413 \):
\[
y = 15,413 - 14,715 = 698
\]
So, after 9 years, the amount left on the loan is \( \text{\$}698 \).
The equation becomes:
\[
y = 15,413 - 1,635(9)
\]
Now, calculate \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
Substituting this back into the equation gives:
\[
y = 15,413 - 14,715
\]
Now, subtract \( 14,715 \) from \( 15,413 \):
\[
y = 15,413 - 14,715 = 698
\]
So, after 9 years, the amount left on the loan is \( \text{\$}698 \).