Question

*BRAINLIEST* (Medium Question: Lesson) The value in 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.

Can you solve it? Good Luck! (Show Work for BRAINLIEST)

Answer 1

Answer: $The~correct~option~is~A.$

Step-by-step explanation:

The initial value of the car is $14,000.

$y=mx+b$

$y=14,000-875x$

$m=-875\frac{money}{year}$

$The~ y-intercept ~is~$ $b=14,000$

$$14,000$  is the value of the car $x=0$, which is the initial value.

Answer 2

Answer:

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

Step-by-step explanation:

we know that

y = mx + b

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

y = 14,000 - 875x

so

The slope is equal to m = -875 $/year

The y-intercept is b = $14,000

therefore

$14,000 is the value of the car for x=0  (initial value)