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.
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 equation of the line of best fit \( y = 15,413 - 1,635x \), we can substitute \( x = 9 \) into the equation:
\[
y = 15,413 - 1,635(9)
\]
Calculating the value:
1. Calculate \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
2. Substitute this back into the equation:
\[
y = 15,413 - 14,715
\]
3. Perform the subtraction:
\[
y = 15,413 - 14,715 = 698
\]
Therefore, the loan amount left after 9 years is **$698**.
\[
y = 15,413 - 1,635(9)
\]
Calculating the value:
1. Calculate \( 1,635 \times 9 \):
\[
1,635 \times 9 = 14,715
\]
2. Substitute this back into the equation:
\[
y = 15,413 - 14,715
\]
3. Perform the subtraction:
\[
y = 15,413 - 14,715 = 698
\]
Therefore, the loan amount left after 9 years is **$698**.