Question

Which of the following statements regarding the association between car value and time are true?

1.Each car value, y, is associated with exactly one time, t.
2.Each time t is associated with exactly one car value, y.
3.The delay at which the car decreases in value is not constant.
4.There is no time, t, at which the value of the car is 0.
Options:
a) Statements 1 and 2 are true.
b) Statements 2 and 3 are true.
c) Statements 1 and 4 are true.
d) Statements 3 and 4 are true.

Answer 1

Upon analyzing the statements, the correct answer is option (b), which states that each time t is associated with exactly one car value, y, and the rate at which the car decreases in value is not constant.

Step-by-step explanation:

The question asks which statements regarding the association between car value and time are true. Let's analyze the statements one by one:

• Statement 1: Each car value, y, is associated with exactly one time, t. This is generally true because at any given moment, a car has a specific value.
• Statement 2: Each time t is associated with exactly one car value, y. This is not always true since a car could revert back to a value it had at a previous time due to restoration or market changes.
• Statement 3: The rate at which the car decreases in value is not constant. This is typically accurate considering factors like depreciation and market demand.
• Statement 4: There is no time, t, at which the value of the car is 0. This is not true since it is possible for a car to lose all its value and be worth $0 at some point in time.

Based on these evaluations, the correct answer would be (b) Statements 2 and 3 are true.