Answered

A car purchased for $9500 depreciates $650 each year under a straight-line method. Which equation best models this depreciation?
a. y=9500 - 650x
b. y=9500x- 650
c. y=9500x 650
d. y=9500 650x



Answer :

Answer:

a. y = 9500 - 650x

Step-by-step explanation:

Linear Equations

A function with a linear relationship between its independent (x) variable and dependent variable (y) often produces an equation of

                                                y = mx + b,

where m is the slope or the rate of change and, b is the y-intercept or the initial value of the equation when x = 0.

Solving the Problem

In the problem they mention that a car is bought at $9500 and that it depreciates or decreases by $650 each year so,

  • 9500 must be the initial value, or b value, of the car
  • -650 is the rate of change or the m value.

Thus its equation is y = -650x + 9500 or y = 9500 - 650x