A new car worth $48,000 is depreciating in value by $6000 per year. The mathematical model, which describes the car's value, y, in dollars, after x years, is y = -6000x + 48,000. a. Find the x-intercept. Describe what this means in terms of the car's value. b. Find the y-intercept. Describe what this means in terms of the car's value. c. Use the intercepts to graph the linear equation. Because x and y must be nonnegative, limit your graph to quadrant I and its boundaries. d. Use your graph to estimate the car's value after five years. a. The x-intercept is (Type an integer or a fraction.) Describe what this means in terms of the car's value. Choose the correct answer below. O A. After 8 years, the car is worth $0 less than it was worth when it was new. OB. The car has no value after 8 years. OC. The car is worth $8 after 8 years. O D. After 1 year, the car is worth $8 less than it was worth when it was new. b. The y-intercept is (Type an integer or a fraction.) Choose the statement that best describes the significance of the y-intercept. OA. The value of the car is never less than $48,000. OB. The car is worth $48,000 less than it was worth when it was new. OC. The original value of the car is $48,000.
A new car worth $48,000 is depreciating in value by $6000 per year. The mathematical model, which describes the car's value, y, in dollars, after x years, is y = -6000x + 48,000. a. Find the x-intercept. Describe what this means in terms of the car's value. b. Find the y-intercept. Describe what this means in terms of the car's value. c. Use the intercepts to graph the linear equation. Because x and y must be nonnegative, limit your graph to quadrant I and its boundaries. d. Use your graph to estimate the car's value after five years. a. The x-intercept is (Type an integer or a fraction.) Describe what this means in terms of the car's value. Choose the correct answer below. O A. After 8 years, the car is worth $0 less than it was worth when it was new. OB. The car has no value after 8 years. OC. The car is worth $8 after 8 years. O D. After 1 year, the car is worth $8 less than it was worth when it was new. b. The y-intercept is (Type an integer or a fraction.) Choose the statement that best describes the significance of the y-intercept. OA. The value of the car is never less than $48,000. OB. The car is worth $48,000 less than it was worth when it was new. OC. The original value of the car is $48,000.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:A new car worth $48,000 is depreciating in value by
$6000 per year. The mathematical model, which
describes the car's value, y, in dollars, after x years, is
y=-6000x + 48,000.
a. Find the x-intercept. Describe what this means in terms
of the car's value.
b. Find the y-intercept. Describe what this means in terms
of the car's value.
c. Use the intercepts to graph the linear equation.
Because x and y must be nonnegative, limit your graph to
quadrant I and its boundaries.
d. Use your graph to estimate the car's value after five
years.
S
****
HILD LOCK
a. The x-intercept is ☐
(Type an integer or a fraction.)
OF
Describe what this means in terms of the car's
value. Choose the correct answer below.
O A.
After 8 years, the car is worth $0 less
than it was worth when it was new.
OB. The car has no value after 8 years.
O C. The car is worth $8 after 8 years.
O D.
After 1 year, the car is worth $8 less
than it was worth when it was new.
b. The y-intercept is
(Type an integer or a fraction.)
Choose the statement that best describes the
significance of the y-intercept
A. The value of the car is never less than
$48,000.
OB. The car is worth $48,000 less than it
was worth when it was new.
OC. The original value of the car is
$48,000.
More
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