Question

The average retail price in the spring of 2009

Answer 1

The linear function represented by the table illustrated has :

• Slope value = - 1221
• Slope gives the rate of change. Here, price of vehicle decreases by $1221 per year.
• Retail value of vehicle will be $11273 after 7 years.

General form of a linear equation :

• y = mx + b
• Where ; slope = m ; b = intercept
• Age = x ; value = y

• The slope = change in y ÷ change in x
• Slope = (16157 - 17378) ÷ (3 - 2) = - 1221
• The value of the slope means that, the retail price of the car decreases by $1221 per year.

To obtain the intercept, b :

• Choose a pair of x and y values ; (2, 17378)
• 17378 = - 1221(2) + b
• 17378 = - 2442 + b
• 17378 + 2442 = b
• b = 19820

The linear relationship given by the table is :

• y = - 1221x + 19820

Retail price for a 7-year old car ::

• x = 7
• y = - 1221(7) + 19820
• y = -8547 + 19820
• y = 11273

Therefore, the retail price of a 7-year old car is $11273.

Learn more: brainly.com/question/18405415