SOLUTION: Write a formula to model the car’s value, where “y” is the value of the car and “x” is the number of years. This problem of from graph where the value of the car is 20,000 and d

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Write a formula to model the car’s value, where “y” is the value of the car and “x” is the number of years. This problem of from graph where the value of the car is 20,000 and d      Log On


   



Question 772305: Write a formula to model the car’s value, where “y” is the value of the car and “x” is the number of years.
This problem of from graph where the value of the car is 20,000 and depreciates 2,500 each year.. with 7 years being the furthest point on the x axis

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Look for ordered pairs in which the coordinates are Years, and Value.
Read these points from the graph if you want. You can simply fit the values from the graph into slope-intercept form of equation. The 20000 value should be the y-intercept, and the slope involves the 2500. You have slope of NEGATIVE 2500. This is "depreciates 2500 dollars each year". You would not necessarily need the y value at x=7, depending on what else you want to answer.

You have then,
m=-2500
b=20000
and slope intercept form for a line is usually used as y=mx+b.
Fill the values and the result is: y=-2500x+20000