Question

(a) write an equation that represents the depreciated value v as a function of the years t.
v = 17000 - 3000t
(do not factor.)
(b) write an inequality using t as the variable that indicates that the depreciated value v of the equipment is less than $8000.
17000 - 3000t < 8000
(do not simplify.)
(c) write an inequality that describes the time t during which the depreciated value is at least half of the original value.
(do not simplify.)

Explanation:

Step1: Find half the original value

Original value is $17000$, so half is $\frac{17000}{2}=8500$.

Step2: Set up the inequality

"At least" means the value $V$ is greater than or equal to 8500. Substitute $V=17000-3000t$.
$17000 - 3000t \geq 8500$

Answer:

$17000 - 3000t \geq 8500$