Question

1. a car worth $27,500 in 2012 is worth $16,720 in 2016. find the rate of change in the value of the car.

Explanation:

Step1: Identify time and value changes

Time elapsed: $2016 - 2012 = 4$ years
Value change: $\$16,720 - \$27,500 = -\$10,780$

Step2: Calculate annual rate of change

Rate of change = $\frac{\text{Total value change}}{\text{Total time elapsed}}$
$\text{Rate} = \frac{-\$10,780}{4}$

Step3: Compute final value

$\text{Rate} = -\$2,695$ per year

Answer:

The rate of change in the car's value is $-\$2,695$ per year, meaning the car decreases in value by $\$2,695$ each year.