The value of a car in dollars y over x years can be modeled by y = 1500 – 20x. Which of the following is true about the car's value given this model?

Question

The value of a car in dollars y over x years can be modeled by y = 1500 – 20x. Which of the following is true about the car's value given this model?

(A)The car initially cost $20.
(B)The car initially cost $1500.
(C)The car's value increases by $20 every year.
(D)The car's value increases by $1500 every year.

Answer 1

(B) The car initially cost $1500. This is because the model given represents the value of the car over time, with the initial value (at x=0) being $1500. Option A is incorrect because the coefficient for x is negative, indicating that the value of the car decreases over time, not increases. Option C is incorrect because the value is decreasing by $20 every year, not increasing. Option D is also incorrect because the value is decreasing over time, not increasing.