-The average value of a certain type of automobile was $15,780 in 1994 and depreciated to $5400 in 1999. Let y be the average value of the automobile in the year x, where x = 0 represents 1994. Write a linear equation in slope-intercept form that models the value of the automobile, y, x years after 1994.
A) y = - $\frac { 1 } { 2076 }$ x - 5400
B) y = -2076x + 5400
C) y = -2076x - 4980
D) y = -2076x + 15,780 Referring to the graph above , assign one of the following descriptors to the point: large positive slope, small positive slope, zero slope, small negative slope, large negative slope.

Question

-The average value of a certain type of automobile was $15,780 in 1994 and depreciated to $5400 in 1999. Let y be the average value of the automobile in the year x, where x = 0 represents 1994. Write a linear equation in slope-intercept form that models the value of the automobile, y, x years after 1994.
A) y = - $\frac { 1 } { 2076 }$ x - 5400 
B) y = -2076x + 5400 
C) y = -2076x - 4980 
D) y = -2076x + 15,780 Referring to the graph above , assign one of the following descriptors to the point: large positive slope, small positive slope, zero slope, small negative slope, large negative slope.

Quizplus · Accepted Answer

The slope of the line is calculated by the change in value over the change in time, which is $\frac{5400 - 15780}{1999 - 1994} = \frac{-10380}{5} = -2076$. The y-intercept is the value at x = 0, which is $15,780 in 1994. Thus, the equation is $y = -2076x + 15,780$.Large negative slopeThe slope of -2076 indicates a steep decline in the value of the automobile over time, which is considered a large negative slope.

-The Average Value of a Certain Type of Automobile Was 12076\frac { 1 } { 2076 }20761​

-The Average Value of a Certain Type of Automobile Was $\frac { 1 } { 2076 }$