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.

Please help.

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calculista calculista · Answer 1 · 2019-05-05T04:10:19+02:00

Answer:

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

[tex]y=mx+b[/tex]

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

[tex]y=14,000-875x[/tex]

so

The slope is equal to [tex]m=-875\frac{\$}{year}[/tex]

The y-intercept is [tex]b=\$14,000[/tex]

therefore

[tex]\$14,000[/tex] is the value of the car for x=0 (initial value)