Question

question 9 of 18 view policies - / 1.1 current attempt in progress the value of an antique is 1800 + 60n dollars, where n is the number of years since the antique is purchased. identify the initial value and the rate of change, and explain their meanings in practical terms using units. the initial value is. it represents the rate of change is. it represents etextbook and media hint save for later attempts: 0 of 5 used submit answer

Explanation:

Step1: Identify initial value

When \(n = 0\), the value of the antique is \(1800+60\times0=1800\) dollars.

Step2: Identify rate of change

The formula for the value of the antique is in the form \(y = mx + b\) (where \(y\) is the value of the antique, \(x=n\) is the number of years, \(m = 60\) and \(b = 1800\)). The coefficient of \(n\) (which is 60) is the rate of change. It means for each increase of 1 in \(n\) (i.e., each additional year), the value of the antique increases by 60 dollars.

Answer:

The initial value is 1800. It represents the value of the antique (in dollars) at the time of purchase (when \(n = 0\) years have passed since the purchase).
The rate of change is 60. It represents the increase in the value of the antique (in dollars per year) for each additional year since the purchase.