Question

Use the table to answer the question.

The table lists the value of a car each year after it is purchased.

Car Value Over Years
Year 0 1 2 3 4
Value ($) 54,000 51,840 49,766 47,776 45,865
Determine whether the decreasing value can be modeled by a linear decay function or an exponential decay function, and why.

(1 point)

exponential decay function; the value decreases by 4% per year, which is a constant percent rate of change

exponential decay function; the value decreases by $6,000 per year, which is a constant percent rate of change

linear decay function; the value decreases by 0.96 per year, which is a constant percent rate of change

linear decay function; the value decreases by 96% per year, which is a constant percent rate of change

Answer 1

exponential decay function; the value decreases by 4% per year, which is a constant percent rate of change

Reason: each year the value is multiplied by 0.96 (51,840/54,000 = 49,766/51,840 = 0.96), so it decays by 4% annually.