Question

The table shows the value of a car as it relates to its age.

A 2-column table with 5 rows. The first column is labeled age (years) with entries 0, 1, 2, 3, 4. The second column is labeled value (dollar sign) with entries 20,000; 18,000; 16,200; 14,580; 13,122.

Which statements describe the value of the car as a function of x, its age in years? Check all that apply.

The relationship is quadratic.
The relationship is exponential.
The domain is {x | x < 0}.
The range is .
The value, V, is represented by the equation
V = 20,000(0.9)x.

Answer 1

Which apply:
- The relationship is exponential. (True — each year the value is multiplied by 0.9.)
- The relationship is quadratic. (False.)
- The domain is {x | x < 0}. (False — ages are 0,1,2,3,4.)
- The range is . (Missing in the prompt; the actual range is {20000, 18000, 16200, 14580, 13122}.)
- V = 20,000(0.9)^x. (True — this matches the table: 20000·0.9 = 18000, etc.)

So the true statements are: the relationship is exponential, and V = 20,000(0.9)^x. The domain is {0,1,2,3,4} and the range is {20000,18000,16200,14580,13122}.