The value of dollars, y, of a car x years after it was purchased can be modeled by the function

y=14,000-875x

what is the meaning of the y-intercept of the linear model?

a) the initial value of the car is 14,000.
b) the average value of the car is 14,000.
c) the car’s value decreases by $875 each year after it was purchased.
d) the car’s value decreases by $16 each year after it was purchased.

.

Option a) The initial value of the car is 14,000

Step-by-step explanation:

we know that

The linear equation into slope intercept form is equal to

where

m is the slope

b is the y-coordinate of the y-intercept

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this problem we have

so

The slope is equal to

The y-intercept is

therefore

is the value of the car for x=0  (initial value)