Problema Solution
A new car worth 24,000 is depreciating in value by 3000 per year. The mathematical model is y= -3000x+24,000
A. Find the x intercept. Describe what this means I terms of the cars value
B. Find the y intercept and describe what this means in terms of the cars value
C. Use the intercepts to graph the linear equatio. Because x and y must be nonnegative (why?), limit your graph to quadrant 1 and it's boundaries
D. Use your graph to estimate the cars value after five years
Answer provided by our tutors
A. Find the x intercept. Describe what this means I terms of the cars value
y= -3000x+24,000
the x intercept happens for y = 0 that is
-3000x+24000 = 0
x = 8 years
click here to see the step by step solution of the equation
in 8 years the value of the car will be $0.
B. Find the y intercept and describe what this means in terms of the cars value
y= -3000x+24,000
the y intercept happens when x = 0 that is
y= -3000*0+24,000
y = $24000
this means that in the beginning the car value is $24000.
C. Use the intercepts to graph the linear equation. Because x and y must be nonnegative (why?), limit your graph to quadrant 1 and it's boundaries
click here to see the graph
x is nonnegative since time can not be negative (we are talking about years in the future)
y is nonnegative since time can not be negative because the value of the car cannot be a negative number.
D. Use your graph to estimate the cars value after five years
y= -3000*5+24,000
y = $9,000