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)
Responses

exponential decay function; the value decreases by $6,000 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 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

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 4% 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

Answer 1

Exponential decay; the value is multiplied by 0.96 each year (a 4% decrease per year), so the percent change is constant rather than the dollar amount.