Question
The loan amount is a function of time and can be represented by the line of best bit y= 15,267 - 1,542x, where x is the number of years. How much is left on the loan after 7 years?
*
1 point
$4,325
$5,248
$4,473
$5,368
*
1 point
$4,325
$5,248
$4,473
$5,368
Answers
GPT-4o mini
To find out how much is left on the loan after 7 years using the line of best fit \( y = 15,267 - 1,542x \), where \( y \) is the loan amount and \( x \) is the number of years, we can substitute \( x = 7 \) into the equation.
\[
y = 15,267 - 1,542(7)
\]
Calculating \( 1,542 \times 7 \):
\[
1,542 \times 7 = 10,794
\]
Now substituting back into the equation:
\[
y = 15,267 - 10,794
\]
Calculating this gives:
\[
y = 15,267 - 10,794 = 4,473
\]
So, the amount left on the loan after 7 years is **$4,473**.
\[
y = 15,267 - 1,542(7)
\]
Calculating \( 1,542 \times 7 \):
\[
1,542 \times 7 = 10,794
\]
Now substituting back into the equation:
\[
y = 15,267 - 10,794
\]
Calculating this gives:
\[
y = 15,267 - 10,794 = 4,473
\]
So, the amount left on the loan after 7 years is **$4,473**.