Question

a scatter plot was made to show the value of certain cars based on the age of the car in years. the equation of the scatter plots trend line is ( y = -1,700x + 32,000 ) where ( y ) is the value of the car in dollars, and ( x ) is the age of the car in years. use the trend line equation to predict the value of a car after 7 years. a. $18.82 b. $18,820 c. $25,000 d. $20,100

Explanation:

Step1: Substitute \(x = 7\) into the equation

Given the equation \(y=-1700x + 32000\), when \(x = 7\), we have \(y=-1700\times7+32000\).

Step2: Calculate \(-1700\times7\)

\(-1700\times7=-11900\).

Step3: Calculate \(y\)

\(y=-11900 + 32000\). Using the formula \(a+( - b)=a - b\) (here \(a = 32000\) and \(b = 11900\)), we get \(y=32000-11900=18820\).

Answer:

B. \( \$18,820\)